Tangy and flavorful, this is a classic German-influenced side dish. This goes wonderfully with rich meats, such as duck. For a bit of a rich smokey taste, I like to use reserved bacon fat as the oil for another variation.
Sauté onion in butter or oil in a large pan over medium-high heat. When soft and translucent, add cabbage. Sauté for a few minutes then add monk fruit, salt, cloves, and bay leaves, and broth. Cook, covered over low heat for 30 minutes, stirring occasionally until tender.
Add the vinegar and cook for another 15 minutes.
Remove lid and boil until most of the liquid is gone. Off heat, stir in apple extract, if using. Adjust seasoning to taste and serve.