Heat ovens to 325 degrees and 350 degrees. Coat the bottoms of two large roasting pans with enough sauce to cover. Add chicken to one pan and ribs to the other. Coat chicken and ribs with remaining sauce.
Bake ribs at 325 degrees until cooked through, about 1 hour. Bake chicken at 350 degrees until cooked through, 1 1/4 to 1 1/2 hours.
Prepare a charcoal or gas grill. Place chicken and ribs on grill, discarding remaining sauce in roasting pans. Grill chicken and ribs, turning and basting frequently with more sauce until well browned and heated through, 10 to 15 minutes.
In a small saucepan heat sauce to serve with chicken and sauce.