Oven-baking the chicken makes this recipe a breeze for any time of the year, and homemade barbecue sauce is always a hit. Serve with rolls and slaw.
Preheat oven to 375°F. Line a 15x10x1-inch baking pan with parchment paper or foil; set aside. Skin chicken. In an extra-large skillet heat oil over medium heat. Add chicken; cook until browned on all sides, turning to brown evenly. If necessary, brown chicken in batches, adding more oil if needed. Drain chicken well.
Arrange chicken pieces, bone sides up, in the prepared baking pan. Bake for 35 minutes.
Meanwhile, for sauce, in a large saucepan melt butter over medium-low heat. Add onion, salt, and garlic; cook for 10 to 15 minutes or until onion is tender, stirring occasionally. Add paprika, chili powder, crushed red pepper, and black pepper; cook and stir for 1 minute more. Add the water, cider vinegar, brown sugar, and Worcestershire sauce; bring to boiling. Whisk in tomato paste and molasses until smooth. Boil gently, uncovered, for 15 to 20 minutes or until sauce is thickened and reduced to about 4 cups, stirring occasionally.
Turn chicken pieces bone sides down. Transfer 1 cup of the sauce to a small bowl; brush this sauce over the chicken. Bake for 10 to 20 minutes more or until chicken is no longer pink (170°F for breasts; 180°F for thighs and drumsticks). Reheat some of the remaining sauce; pass with the chicken. Store any remaining sauce in an airtight container in the refrigerator for up to 1 week.