This is what I do....in a pan, pour 1-2 tbsp of olive oil. Add one whole onion, diced. Let the onion sweat a bit then add 2 tsp. sugar. Add one sausage (I used Johnsonville sweet sausage, cut the casing off and cut it into small bits. ) let the sausage cook with the onion a bit, while you shred the cabbage.
Add the shredded cabbage....I used about a quarter of a cabbage. At the same time, I add about 1/3 a cup of water. I'll add more later, if it seems to be too dry. Then I add a couple of shakes of balsamic vinegar. (Sorry, can't be more specific, that's how I measure.) I'll taste later and add a bit more, if it seems too sweet. Let the cabbage cook, in an uncovered pan, stirring occasionally, for about 20-25 minutes. If you hear it sizzling, you've got a dry pan, add a bit of water, maybe a quarter cup and continue cooking. Give it a taste....if it's too sweet, add another shake of vinegar.