Preheat grill until it reaches 400 degrees. In a bowl, mix together egg, 1/4 cup of coca cola, crackers, 2 tablespoons French dressing and parmesan cheese. Mix in the ground beef. Form into 6 patties. Pour the remaining Coca-Cola and dressing into a small bowl, and mix well. Grill burgers, brushing with the coca cola during grilling. Grill for about6 minutes in each side. Makes 6 servings.