In a large mixing bowl, combine olive oil, white balsamic vinegar (or white wine, or apple juice), sea salt, fresh cracked pepper, and fresh chopped thyme.
Slice up the cabbage and red onion, add it to the mixing bowl and toss well to coat with the dressing.
Spread the dressed cabbage and onions on the lined sheet pan, and place in the oven. Check doneness after 10 minutes. If cabbage and onions are done to your liking, remove from oven. If you want them to be softer, lightly stir the vegetables and put them back in the oven. Check and stir the vegetables every 5 – 10 minutes until their done to your liking.
To serve, place the cooked vegetables on a large platter, sprinkle with shredded cheese of your choice (any white, sharp cheese works well), and garnish with fresh thyme sprigs.