Mix meat and 2 Tbsp. barbecue sauce; shape into 4 (1/2-inch-thick) patties.
Brush onions with 1 Tbsp. of the remaining barbecue sauce.
Grill patties and onions 4 to 5 min. on each side or until burgers are done (160F) and onions are crisp-tender, brushing burgers with remaining barbecue sauce and topping with the 2% Milk Singles for the last minute. Meanwhile, grill buns, cut-sides down, 1 min. or until lightly toasted.