Prepare a medium-hot banked fire in covered kettle style grill. Cut each slab of ribs between ribs into four pieces. Place rib-side-down over indirect heat and grill for 1 1/4 hours.
Meanwhile in a saucepan combine catsup, Worcestershire sauce, cherry cola, vinegar, paprika, chili powder, pepper and onion; simmer 10-15 minutes, stirring occasionally.
Brush ribs generously with sauce and continue to cook, about 20-30 minutes, basting and turning often, until ribs are nicely glazed.
Wine suggestion: Serve with a chilled rose or ice cold beer.