Honestly I have no idea. I just copied the code and files from wingi. But it should work fine, unless mods like Animal Package, Extended Animal System or Realistic Livestock are involved in some way. EAS works with them but make sure to let them breed, also put a male in the hutch (I think is only for rabbits). Will test myself these days.
Rabbits: clover or hay pellets for first category, lettuce, apples, cabbage for the second one.
Geese, ducks, chickens: grains (wheat, barley, sorghum, millet, rye, spelt, triticale etc.) and root cuts: sugarbeet cut, potato cut, taro cut, carrot cut etc. (you can buy them from one of the buying station or shredd them like sugarbeet cut)