My great grandmother was from Germany. She did kraut Bavarian style. She had a deep cast iron skillet with a dome lid so it was essentially like a Dutch oven. On the stove she would saute: 1 chopped onion, 1 cooking apple chopped when it was nearly done she added (she rarely measured) about 1 Tbsp ea of brown sugar and cider vinegar folowed by a pinch of caraway seed. Then she'd toss in drained kraut, and bake several hours in a moderate oven with or with out sausage.
Uh... side dish??? LOL! Ethnic cause it's German...