Combine first 7 ingredients, stirring well.
Cut 8 (12-inch) squares of heavy-duty aluminum foil. Place a cabbage wedge on each square of foil. Bring edges of foil up, but do not seal. Pour juice mixture evenly over cabbage, and seal packets.
Place grill rack on grill over medium-hot coals (350° to 400°). Place foil packets on rack; grill, covered, 35 minutes or until cabbage is tender.