If you're thirsty for stronger stuff, Mission BBQ also sells cans of beer in 12- and 24-oz. tall boy sizes. After sitting down with your food, served on a sheet tray lined with brown paper, you find the real stars of Mission BBQ: the sauces.he concept is well on its way, and with more attention to the food, Mission will be serving good barbecue for years to come. Mission BBQ. Back-story: Two patriotic best friends, Bill Kraus and Steve Newton, wanted to celebrate America's heroes and food.