The "formula" is just a series of medals players got during the game.  You can view them under Awards.

Basically, you get them for being the best (or tied for best) in one of the stats shown on the post-game report.  Least deaths, most damage, most creeps killed, most gold collected, most kills, longest kill streak, etc...

There are two reasons why the winners get more favor.

1.  There are actually two medals relating to winning/losing.  For winning you get a lot of Favor (75-90?) and for losing you get very little favor (5-10?).  This means that all winners will have a good amount of favor.

2.  Since the winning team won, they probably played better too.  This means that they likely got all the medals for the game, although possibly split out between multiple players.  These medals give favor.

On #2, it is actually possible to get these medals on the losing team.  I recall one specific time in a Hard SP Tourney where, since the enemy AI are on Hard and allied AI are on Normal, my team lost the game for me.  It was... Domination on Mandala iirc, a large map that requires a full team to play properly.  Unfortunately, my team got dominated by the enemy because I could only be in one place at a time.  Regardless of that fact, I actually ended up with about twice as much favor as any player on the enemy team simply because I dominated them wherever I went.  I think I had around 170 Favor at the end of that game even though my team lost.

The point?  There is nothing wrong with the "formula."  The person who did the most in any given statistic will get the favor for it regardless of if they won or lost.

Yeah, Random_Guy is correct. I have played two games recently where I lost the game but had double the winners' favor, taking almost every award.

You shouldn't increase the amount of points given for losing (unless it's only upped to say, 20)

Instead, penalize people for leaving the game before it's over.

Favor points awarded have nothing to do with the actual win other then the Winner Award. Like Random_Guy has pointed out already that favor is awarded based on awards won. Once a game is done click on the Award tab, right next to the Score tab. You will notice the person with the most awards recieved the most favor. In most cases the winning team is going to win the most favor but it doesn't have to be that way. Focus on destorying buildings, killing grunts, gold, reinforcements, citadel upgrades, flags, not dieing, kills, kill streak instead of winning and you will get your favor. Obviously if you accomplish all of those you will most likely win too.

So say you are playing a Fortress match. You could focus on just killing demigods and kill streak but, if they avoid you and you don't go after there fortresses, they could still win the match. Or you could play a Conquest match and just focus on flags and portals always running from demigods so they take the flag only so you can cap it again.

As far as getting more for losing... no. You lost. Why should you be rewarded more then the Particpant Award(2nd place medal in a 2 team match)? You are also rewarded in the current system by actually out performing someone in the above mentioned areas. Also increasing favor for losing will not lessen the rage quiters, unless we make it the same for winning. Still think there would be a plenty of ragequits because people don't like to lose regardless of the favor points. What happens after you have the favor items you want and no longer care about favor points?

This isn't a kids game. There aren't any do-overs or take-backs and everyone doesn't get to go home with a gold medal and I can only hope it stays that way.

ps. Favor is broken at the moment anyways... how can this possible be a concern at this time. Maybe once it is fixed so you don't lose purchased favor items and favor from game to game.

What makes you say that? Right now there is no reason NOT to rage quit. There's practically no award for staying in a game and losing. If you might get 100 points for finishing a game, that's an incentive to hang in there. I'm 100% positive you'll see fewer rage quits if you  up the award for losing.

Have you even PLAYED online? There ARE takebacks and do-overs. They are called rage-quits. That's exactly what happens every game someone drops out of. They are saying 'Do-over' and moving on. That's what I would like to mitigate.

Having some sort of check to make sure they actually participated enough to gain favor would also be nice, so you can't just AFK in the back.  But then again, at least he was not giving away gold via kills... like most of the AI do.

if favor points didnt reset every game they wouldnt even matter after a week, its so easy to get the one or two items needed

Well you don't get 100 points for winning for starters. Not sure of the exact amount on the Winner Award but I have gotten as low as 90 favor after winning a match. Think I might have had another award as well. So suggesting 100 favor for losing a match would be... oh yeah didn't I say it would have to be the same so people wouldn't ragequit over favor.  If you want favor then focus on favor, it doesn't automatically go to the winners. (my previous post above)

Yes I have played online. Yes there are plenty of kids that play online as well. This game was not made for said kids. Notice the Teen rating below, Teens otherwise know as Young Adults. Ragequiting is Quiting while in a rage or just simply quiting. When someone ragequits they are saying "I surrender", "I give up", or "I quit". Do-over would be like I bought the wrong artifact at the shop and want to return it and for full refund or I get killed for something stupid like going afk near one of your towers and don't want that death to count. I would like there to be less ragequitters as well I just don't believe increasing favor for losing a match is the answer. Not everyone that ragequits is doing it because they won't get a lot a favor points. Could be someone is at their front door, important telephone call, bathroom emergency, power failure, internet disconnect, hates losing matches cause it is obviously everyone elses fault, etc. So this ulitmately becomes just a change to reward people for losing a competitive match... (my previous post above)

Upping the losing favor from 10 to the 30-45 range could go a long way.  Also maybe some awards should be per team (the lower of the two just gets half.)  A little encouragement could go a long way to encourage newbies to actually finish games.

In addition there needs to be additional uses for favor once things get sorted out, such as buying titles, maybe buying unique demigod skins for a number of games, ect.  People should always want to gather up some favor.  People would love to show off they have tons of favor if given the change.

Just finished a 3vs3 conquest. My team won but I was the only one to win an award for flags. I ended up with 90 favor and my partners got 75 each for winning. The losing team had the rest of the awards and each had 100+ favor. So take away the 10 favor for losing the match and they still beat us. Meaning if their goal was to get favor then the losing team won... And honestly that team I played against deserved that favor, it was a hard fought fight to the end.

But if you increase the favor for losing then that team would have gotten even more favor for never even touching our citadel in a conquest match. The Participant Award doesn't need to be increased, it is already possible for the losing team to get more favor then the winners.  The focus of the match should be winning not favor anyways.

It sucks when people quit a match. Not all of them are Ragequitting though and I highly doubt they are doing it because of favor. Again the favor system is broken at the moment how can people possibly be quitting becuase of favor that will go negative even if they won?

ps. sorry there are no screenshots. i hit all my F keys and printscreen button but still no screenshots that I can find. Checked program files/stardock games/demigod and my documents/my games/demigod/.