Preheat your oven to 375F and line a baking dish with parchment paper or lightly coat with cooking oil.
In a small bowl, mix together the garlic powder, onion powder, smoked paprika, thyme, allspice , cayenne, salt and black pepper.
Rub the seasoning evenly over the chicken thighs and drumsticks.
Arrange the chicken in the prepared baking dish. Cover with foil and bake for 30 minutes.
After 30 minutes, remove the foil and add aromatics, along with chicken broth if using and some of the Jerk BBQ sauce.
Return to oven, uncovered and bake for an additional 25-30 minutes.
Baste the chicken with the sauce and broth and bake for another 10 minutes or until the chicken reaches an internal temperature of 165F and the sauce has caramelized.
Let chicken rest 5 minutes before serving.