There is no universal special logo for a restaurant that composts.
italian
Chili's
I think that you are looking for Jamba Juice (jambajuice.com)
Jamba Juice
ARBY'S
Ruby tuesday
Hardee's
Dunkin donuts
Nando's has a black and red chicken logo.
The Royal Diner (a fictional restaurant ) on Bones has a crown logo. There is a Crown Burger Company in Utah.
What restaurant has a green , white , red flag as a logo