Heat the oven to 350 degrees F.
Place the cabbage, onion and apple in the bottom of a 4-quart casserole or Dutch oven. Season to taste with salt and pepper.
Heat a couple tablespoons of olive oil in a sauté pan over medium-high heat. Add pork ribs and cook until browned, about 6 to 8 minutes, turning to brown each side. Remove pork and place over cabbage. Pour off fat.
Combine vinegar and brown sugar in a small bowl. Add to pan, stirring to remove browned bits from bottom of pan. Pour over ribs and cabbage.
Cover and bake 1 1/2 to 2 hours or until the internal temperature reaches 155 degrees F., pork is tender and cabbage is cooked.
