I don't put meat in the compost. I don't put dairy in the compost. It stinks pretty badly if you do. I do bury meat and diary in the garden, if I actually have any scraps to get rid of, which is rare.
I also don't put in limbs or things like whole vines (rose bush limbs) or even bermuda grass runners without hitting them once with the lawn mower to break them down. I'd like to have a shredder or hammer-mill to break stuff down before I put it in the compost pile.
I do put all of my coffee grounds, egg shells, moldy bread, bad veggies, etc in the compost pile.
If you have a lawn guy, have him dump the bag from the mower into your compost pile.
My compost pile is mainly oak, elm, and cottonwood leaves that I also try to hit with the mower before composting. I wish I had pine needles like I had in NM.
A compost pile is basically food for bacteria and fungi that are going to break the organic materials into stuff that plants can use. The little bacteria and fungi do better with smaller bits to operate on.
/johnny
Better yet, don’t let the yard guy bag the clippings in the first place. Let them lay where they are to naturally fertilize the yard. Have the yard guy clean the gutters and put that onto the compost pile.