01 - In a large mixing bowl, combine the barbecue sauce, olive oil, apple cider vinegar, brown sugar, smoked paprika, garlic powder, onion powder, salt, and black pepper. Whisk until smooth and well blended.
02 - Measure out ¼ cup of the marinade mixture and set aside in a small bowl for basting during grilling.
03 - Add the chicken thighs and drumsticks to the bowl with the remaining marinade, turning each piece to coat thoroughly. Cover tightly and refrigerate for at least 1 hour, or up to overnight for more pronounced flavor.
04 - Heat the grill to medium-high (approximately 375–400°F). Lightly oil the grates to prevent the chicken from sticking.
05 - Remove the chicken from the marinade, allowing excess to drip off. Place skin-side down on the grill and cook for 6 to 8 minutes per side, brushing with the reserved basting sauce and turning occasionally, until the skin is charred and an instant-read thermometer inserted into the thickest part registers 165°F.
06 - Transfer the chicken to a platter and let rest for 5 minutes. Garnish with chopped fresh parsley if desired and serve immediately.