Pre-boil the wings and drumsticks for 30 minutes. In a saucepan, add oil and sauté onions 2 minutes. Reduce heat. Add brown sugar, continue to cook and stir on medium heat 2 minutes.
Remove from heat. Add all other ingredients. Reserve half the sauce.
Brush the pieces with sauce and cook approximately 15 minutes on each side.
Cook the turkey pieces on a lightly oiled grill about 5 inches (13 cm) above charcoal or on a gas barbecue, using medium heat. Brush often during cooking. Turkey is cooked when juices run clear. Serve with reserved sauce.