Hey, a forum post can only go so far, but I will give a try to provide some Yor advice
Your being a synthetic race, has to manufacture it's population. On the one hand it allows to bypass the normal growth via food, and also ignore food as a resource. But on the other hand, it may block your planetary construction too much.
The trick for Yor is that every next pop you build on a planet, costs more manufacturing points.
E.g. first pop costs 60, second costs 90, third costs 120, and so on.
(Btw, Yor have been recently buffed in this regard, so this is the best time to play them!)
The game keeps track of you building those pops, so if you were to use solely your homeworld to colonize the galaxy, and build pops for it, the manufacturing cost would become just too much. For this reason you should consider spreading the colonizer ship construction through your empire, so that your colonization efforts, do not block your construction queue as much.
Alternatively you could transport citizens to your colonizer world, but it's easier and more efficient to spread this production.
All of the above also means, that you may want more core worlds, than a regular civ, as each core world has it's own cost tracker. E.g. even if your homeplanet has the cost of 240, your newly colonized core world would require only 60 manufacturing to produce a Yor.
This does change the gameplay quite a bit, as more core worlds, also means less colonies per core world. But it's all part of our grand plan.
With many core worlds, you will have less production on each individual core world, but more production in your entire empire. For this reason, it's very situational on what type of ship to build. With other civs, bigger ships are mostly better, except of niche situations, but with Yor, due to how your production is set up, smaller ships may be the way to go, because this means less waiting time on an individual ship construction.
This info should be a nice set up for your next game, and I hope it was helpful