Prepare the barbeque glaze. Pour apple cider vinegar into a small saucepan and whisk in garlic powder, onion powder and chili powder. Bring to a boil and add Worcestershire sauce, ketchup, molasses, dark brown sugar and honey. Lower heat to medium or medium low and allow to bubble and thicken.
Preheat oven to 425 degrees F. In a plastic bag, shake together flour, salt and pepper and add chicken pieces in batches to coat. Place on a baking sheet (lined with heavy duty foil for easy cleanup) and drizzle olive oil over. Bake for about 15 minutes, and then coat each piece with some of the glaze and bake for 5 to 10 more minutes. You can do a second coat of glaze for the last 5 minutes, or serve any additional glaze on the side.