Mix together the brown sugar, ginger, cayenne, clove, cinnamon, paprika, oregano, pepper, salt, and lime zest; set aside. Squeeze the limes, and add the juice to the orange juice. Rub the ribs well with the spice mixture. Place into a glass baking dish, and pour in the juice.
Cover the dish, and bake in preheated oven for 90 minutes. Uncover, then continue cooking until nicely colored, 20 to 30 minutes more. Brush the ribs with the pan juices a few times while they are cooking.
