Hobgoblins do in fact have their own god (Nomog-Geaya) who watches over them and serves as their patron. The goblin god of cooperation and teamwork is Bargrivyek, who serves Malgubliyet (who is, incidentally, the god of caution and mistrust) as a steady right hand. Bargivyek is known as the Peacekeeper; he is Lawful Evil and makes his home in the Nine Hells of Baator in the ironically-named Peaceful Lands. Bargrivyek emphasizes unity to all of goblinkind and works to smooth over infighting between various tribes of goblins or species of goblinoid by directing them at their 'true' enemies, such as orcs, elves, humans, gnolls, and pretty much anyone that pushes goblins around. Through him, Malgubliyet politics with Baator, just as he uses the god of bugbears as a liason to the Abyss.
EDIT: There's no canonical color for Erinyes wings, but the one pictured is white.