In my part of the world I've seen them mousing, after grasshoppers and crickets and certainly they eat a lot of apples.
The are also hell on fawns, wild turkeys, grouse, lambs and especially early born calves, and can do major damage to a flock of sheep.
The barn cat ( and urban cat "drop-off") population seems to be always in check ... a lot of the "newcomers" rarely make it through
to spring.
I had a major "bait station" two years ago ... an old jack (donkey) succumbed ...and was frozen into place by freezing rain. Took 6 coyotes
eating away at his poor old carcass on different early mornings. From the tracks, it seemed more were partaking at night.
Coyotes are very much omnivorous ... they'll consume just about anything that will nourish them, and are great opportunists. If it's protein, they'll eat it !