Sweet-and-Sour Cabbage with Balsamic Vinegar

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4 onions, halved lengthwise and sliced thin

1/4 pound sliced prosciutto, cut crosswise into thin strips

8 garlic cloves, minced

5 1 1/2-inch dried chilies

8 tablespoons olive oil

2 pounds Savoy cabbage, cored and shredded

1 tablespoon sugar

6 canned plums tomatoes, drained and chopped (reserve 2/3 cup of the juice)

3 tablespoons balsamic vinegar, plus 2 tablespoons to finish

1/2 cup chicken broth

1/2 teaspoon dried oregano, crumbled minced parsley for garnish