make groceries or making groceries - to go grocery shopping; this phrase probably originated from the French expression for grocery shopping, "faire le marché"
When we're in New Orleans, we always make groceries at Rouse's (formerly A&P) and Matassa's. When we go out of the FQ, we like to go to Dorignacs, especially to visit their great bakery.
Check out this New Orleans/Louisiana Making Groceries Shopping Board on EBAY