So, it seems both mods include "Bat Wing" as a drop from bats. And while in Reliquary the item is used on many different recipes, the one from AA seems to only work for making "Bat's Wings". Would it be possible to implement a detection of Reliquary, such that if the mod is present you remove your Wing and replace it with theirs on your recipe? :)

I don't really think this'd be great because Actually Additions' bat wings should be harder to obtain than Reliquary's ones, but there's a mod out there called Fluidity which adds this compatibility, so you can just install that! :)