COMBINE 1/2 cup apple butter, Worcestershire sauce, hickory smoke flavoring, salt and pepper in medium bowl. Crumble ground chuck into bowl; gently combine the ingredients well. Shape meat into four 5-inch wide patties; refrigerate.
COAT unheated grill grate with no-stick cooking spray. Heat grill to medium-high (350 degrees F to 400 degrees F). Coat apples and onions (keeping slices intact) with 1 cup apple butter.
GRILL burgers, apples and onions 4 to 6 minutes per side or until juices run clear on the burgers and the apples and onions are tender. Toast rolls, if desired.
TOP each burger with cheese during the last 2 minutes of grilling. Place a burger on each roll bottom, top with grilled apples and onions and the roll top; serve.
To toast the rolls: spray the inside of each roll with butter flavored no-stick cooking spray. Place the rolls (cut side down) around the outer edges of the cooking grate; grill until golden brown. *Hickory smoked flavoring can be found in your grocer's condiment aisle.