SAUCE Cook steak sauce and barbecue sauce in saucepan until heated through, stirring occasionally. Hold over low heat.
DRY Rub Mix all ingredients.
COLESLAW Combine ingredients. Refrigerate until ready to use.
FOR each serving Brush cut sides of 1 roll with 2 Tbsp. butter; toast lightly on griddle.
RUB about 1 Tbsp. Dry Rub over each beef patty; cook on medium-high heat 6 min. on each side or to medium (160ºF) or desired doneness. Brush all sides of cooked patty with Sauce; place under salamander on sizzle plate for 30 to 60 seconds or until sauce is caramelized.
COVER bottom half of roll with 2 oz. (1/2 cup) Coleslaw, about 6 pickle slices, burger, 1/4 cup onion straws and top of roll.