Running on 1.19.2, using the Farmer's Delight cutting board automatically defaults to the Egg Delight sliced bread.

Is there some kind of compatibility that can be made or is there a way to modify the IDs at all? Unfortunately using things like Polymorph don't really apply to the cutting board.

Any help or insight would be appreciated!

One of the mods would need to match the other's tag, assuming they have one.
Mine is:
forge:bread/sliced
Their mod is All Rights Reserved and they don't have an issue tracker so yeah nothing I can do on my side sorry.