There are alot of male idols who produced for ggs, but is there a gg member who produced for a bg?

Exy did work in a cravity song but idk if it was just lyrics or also production

EXID's LE participated in the lyrics and music for Boys' Republic's Round, and not a straight bg, but she also has writing credits on Troublemaker's Troublemaker.

Le, Soyeon and to a lesser degree Exy are top composers in the kpop gg world.