1. Mix all the BBQ sauce ingredients in a bowl and set aside.
2. Remove excess fat and the tough outer membrane from the ribs. Score bone side lightly in a cross-hatch pattern with a knife for extra flavor from the seasonings.
3. Combine all the Cajun rub ingredients in a bowl and stir well.
4. Pack the rub generously on both sides of the ribs and marinate for at least 2 hours.
5. Bring the ribs to room temperature before cooking. Preheat oven to 350°F.
6. Cover the ribs with foil and bake for 2 ½ - 3 hours or until the meat is tender and the internal temperature registers 150°F.
7. Heat the rum BBQ sauce just until it thickens. Pour over ribs and serve with sides of your choice.