Preheat oven to 150 degrees Celsius.
Thoroughly clean the beef short ribs and pat dry.
In a bowl, combine Caesar dressing, prepared mustard, Spanish paprika, sugar, cumin, ground black pepper and salt. Mix to form a paste.
Rub the beef short ribs with the marinade and marinate for 4 hours or overnight.
Place the ribs on a baking pan and pour half cup of water. Securely cover the pan with aluminum foil. Bake in the oven for 3 to 4 hours.
Remove the aluminum foil and collect the meat drippings. Combine the meat drippings and the barbecue sauce. Baste the beef short ribs with the barbecue sauce mixture.
Increase oven temperature to 250 degrees Celsius. Place the beef short ribs uncovered in the oven and bake for 10 to 15 minutes to caramelized the sauce.