Some bury the entrails in order to show respect for the animal. Others leave the entrails above the ground for the coyotes. Either way, they are going to become food for scavengers, so it is your choice. A coyote will dig to get to the organs.

If I kill a deer on my land I will bury the organs to show my respect. If I kill a deer on public land I will take them home in a bag with me and bury them, since one is not allowed to alter public land in Mississippi (Digging a hole).

It is your choice.