Clean the cabbage, quarter it, wash it and cut out the stalk. Cut cabbage into fine strips. Peel and finely chop the onions. Clean mushrooms, rub with kitchen paper and cut in half. Heat oil in a pot.
Sauté mushrooms and onions well, add cabbage and fry for about 5 minutes, turning. Deglaze with wine and season with salt, pepper and nutmeg. Cover and stew for about 10 minutes. Grate cheese roughly.
Layer the sauce, lasagne dishes, vegetables (with the stock) and cheese alternately in a greased ovenproof dish. Bake lasagne in a preheated oven (electric: 200 °C/ gas: level 3) for 35-40 minutes.
Serve garnished with parsley as desired.