In a large pot, heat oil on medium high and add the onion. Cook for about a minute or two.
Thinly slice the cabbage and add to the onions.
Stir frequently and cook until cabbage and onions soften.
Add the salt, broth and crushed tomatoes. Reduce heat to medium and cover. Cook for about 15-20 minutes or until cabbage is tender, but still has a little bite to it.
Stir in Tabasco and brown sugar to taste. You can adjust this to your liking.