||In medium bowl, whisk together teriyaki, vinegar, garlic, seasoning and oil. Place drumsticks in a zipper-locking bag; pour marinade in bag. Refrigerate 2 hours or overnight, turning bag occasionally to evenly distribute marinade over drumsticks.
||Prepare grill to cook over indirect heat.
||Grill drumsticks over indirect heat, brushing with marinade occasionally during the first 20 minutes of cook time. Discard any unsued marinade.
||Grill for 30 to 35 minutes, or until a thermometer inserted into the drumsticks reaches 180°F.