Preheat the grill to medium-high heat, approximately 375-400 degrees Fahrenheit.

Pat the chicken drumsticks dry with paper towels to ensure even browning.

In a small bowl, whisk together the barbecue sauce, honey, apple cider vinegar, garlic powder, smoked paprika, salt, and black pepper.

Reserve 0.25 cup of the sauce mixture for final basting and set aside.

Toss the drumsticks in the remaining sauce until thoroughly coated.

Place the drumsticks on the preheated grill grates.

Grill the chicken for 25 to 30 minutes, turning every 5 to 7 minutes to prevent burning and ensure even cooking.

During the last 5 to 10 minutes of grilling, brush the reserved sauce onto the drumsticks.

Verify the internal temperature has reached 165 degrees Fahrenheit using an instant-read thermometer before removing from the grill.

Allow the chicken to rest for 5 minutes before serving.