Melt butter in large skillet over medium-high heat. Add onion; cook and stir 3 minutes or until tender.
Add brown sugar, apple juice and vinegar; mix well. Add cabbage. Reduce heat to medium-low; cover and cook 10 minutes, stirring occasionally.
Place sausage over cabbage. Cover; cook 10 to 15 minutes or until cabbage is tender, turning sausage once. Uncover skillet; cook 15 to 20 minutes or until most of liquid is absorbed. Cut kielbasa into serving-sized pieces.