Prepare all the ingredients. Chop the Onion (1) and Green Cabbage (1/2 head).
To your crock pot, add cabbage, onions, Tomato (28 ounce) with juices, Tomato Paste (3 tablespoon), Balsamic Vinegar (3 tablespoon), Brown Sugar (2 tablespoon), Chicken Broth (3 cup), Salt (1/2 teaspoon) and Ground Black Pepper (1/2 teaspoon), and stir together.
Set on low and cook for 8 hours or until cabbage is soft.
Stir and then ladle into bowls, adding Yogurt (1 dollop) or sour cream, if desired.