What is a conivore?

There is no such word as "conivore." It is likely a misspelling of "conifer," which refers to a type of tree.

Conifers are a type of tree that produce cones and have needle-like leaves. Some examples of conifers are pine, fir, spruce, and cedar.

If you were thinking of a specific animal that eats cones, it would be called a conivorous animal. However, there isn't a common name for a conivorous animal as many animals eat cones opportunistically.