I'm embarrassed to say I've never paid any attention to carbon and nitrogen ratios...ever. I just throw in what I have available. I do have both chickens and quail. I use both shavings and wood chips depending on the enclosures or cages plus their used bedding is full of feathers, poop and some uneaten feed. It composts very well! I also make sure most of what I throw in there is as small as I can make it. I don't have a wood chipper but do get wood chips for under the quail cages from a landscaper (for free!). Grass clippings are great! Kitchen scraps, tea bags, coffee grounds, it's all good, but make it small! Leaves from my yard all go into the chickens' run to be worked over by the girls and they make the leaves smaller as they work. The leaves eventually end up getting thrown in a bin some day.
I think there are two reasons for the success besides good poultry poop and small sized pieces of material.
One is I actively turn the pile. Once I have enough stuff in the holding bin I wet the pile and turn it well, it heats up so fast! In a week or two when it's started to cool a bit I turn the entire pile, and not just turn it but I toss each shovel or fork full of stuff into the air as I turn it to oxygenate it well as I pull the material out, and again as I toss it back into the bin. It's quite a workout for an old broad like me! The newly aerated stuff will decompose much faster than if it sits in an anaerobic state.
The second reason is the bins are large enough that they can get very hot over a large volume of stuff. If you had just a small pile only the center would get hot and the edges would be cooler. Small pile=small hot center that breaks down quickly. A large pile has a much bigger hot zone, and a relatively small cool zone. The ratio of hot to cool area is different in a small pile versus a large one. Also, since I collect material and only start the pile cooking when the bin is fairly full there is a larger volume to cook than if I started it cooking when there was only a foot or two of material. By cooking I mean wetting the pile down enough to get the dry stuff damp. Until then the dry stuff just sits there, which is why I have something to cover my bins when I need it.
Well that's my theory and I'm sticking to it.