Different types of bee combs are produced by different bees. Also bees of one type can produce different ammount of combs per limited time. This happens because of the genome Speed.
Each genome acts as a multiplier, where Slow Speed is 0.8x , Normal Speed is 1.0x and Fast Speed is 1.2x.
Howewer, you can increase or decrease this time by modifying your bee.
But sometimes the same bees with the same genome can give different ammount of combs in the same time. This happens because of the percentage chance of the certain comb to appear in every production tick. Time between production ticks can be changed depending of the Speed genome. So, if you want combs to appear faster, try to get the bee with the highest chance of production and modify it with Fast Speed genome. While time between production ticks is the same to all bees with the same Speed genome.
Almost all bees have 2 types of combs in production list, one - main comb for all branch. Usually very cheap. But the other is speciality comb, one for each bee. These combs are far more valuable, howewer, their production chance is always low. Higher tier bees may have their main comb chance decreased, but they produce more of the speciality comb.
Visit also bee species to study how to obtain sertain bee.
Here is a table showing new combs Extra Bees Mod adds in the game, Bees that produce them and chance for comb to be produced in the production tick.