There is one other place I know of you are likely to read about composting animals. The humanure handbook website forum. It wasn't till I started humanure composting that I learned how to get a really good hot compost pile that would easily handle rotting carcass and control smell and other animals digging it up. So what have we composted. I really can't even count the bones and scraps of animals we have eaten since we always compost all food scraps that don't go to the chickens or worm bins. It is a firm rule here to avoid putting anything stinky in the trash can. So, animal bodies in our compost bin lately. 3 sick chickens we didn't want to make the rest of the flock sick. Any dead squirrels we find around the house. 12 rats we caugh And all fish parts that the chickens don't get, I've found that burying fish parts causes critters to dig up the yard or whatever plant I put over it so composting seems to be the best way for use to take care of it. I agree that this is an advanced composting thread. No one who is not confident of their ability to manage a hot compost pile should be putting dead bodies in it.

WL, "Any special tips for catching them?" Just don't handle them. It is my understanding that armadillos can carry Leprosy. For that reason, and safety in general, any live catch traps should have protection for your hand at the carrying handle. I suspect that the NWS5300 Universal Trap with built-in nose cone trap would be suitable for armadillos. However, several other traps, like the Wickencamp Coon Trap (Model 302) or the Safeguard Pro Raccoon Trap, are suitable for armadillos. For traps with a rollover release, you should anchor the trap to prevent the captured animal from rolling the trap over and escaping. I lost several large gray squirrels before learning to attach an anti-rollover bar (a short piece of concrete re-bar) to my Havahart traps. If you are trying to catch an armadillo, you might want to use TreeBerry paste bait. If you prefer not to use a live trap, you could try a repellent like Whole Control. I have never used it, so I can't attest to its effectiveness. If all else fails, you could always try "the old reliable" Juicy Fruit gum. (grin) MM

I have a cat and it is cat poo ... they like to go out mainly night time that is probably why you don't see them doing their business

Sounds like you are describing an Oppussum: https://en.wikipedia.org/wiki/Opossum