Cut ribs into serving sized pieces; place on a rack in a shallow roasting pan. Bake, uncovered, at 350 for 1 hour.
Meanwhile, in a medium saucepan, saute onion and celery in butter for 4-5 minutes or until tender. Add remaining ingredients; mix well. Bring to a boil, reduce heat. Cook and stir until slightly thickened, about 10-minutes. Remove from the heat.
Drain fat from the roasting pan. Pour sauce over ribs. Bake 1 1/2 hours longer or until meat is tender.