Place white beans in a large bowl and mash with a fork; set aside. Heat oil in a sauté pan over medium heat. Add onion, carrot and garlic to pan and sauté until softened. Stir vegetable mixture into mashed beans, along with the barley, panko, parmesan and seasonings. Form into 8 patties, chill at this point if making ahead of time. Cook patties, 4 at a time, in a large sauté pan for 3 to 4 minutes on each side or until golden brown and heated through. Serve with pasta sauce or as desired.
