In a large bowl, combine bread crumbs, egg, ¼ cup Coca Cola, salt, and ¼ cup BBQ sauce. Mix well. Add ground beef & mix well. Shape into 5 burgers and place on a plate.
In a small bowl, combine the other ¼ cup Coca Cola & the other ¼ cup BBQ sauce. Set this aside to brush over the burgers as they are cooking.
Heat the grill to about 400℉. Grill burgers, covered for 3 minutes at a time and then brush with Cola mixture before flipping. You will cook the burgers at least twice on each side, brushing with Cola mixture before each flip. This gives a sweet, crispy outside to the burger. Grill until internal thermometer reads 160℉.
Serve on a bun with your favorite toppings.