Peel and chop the onions. Peel, wash and finely dice the carrots. Heat 2 tablespoons of oil in a large frying pan. Fry the minced meat in it over a high heat for about 3 minutes until crumbly. Add the carrots and half the onions.
Fry over medium heat for about 3 minutes. Season with salt and pepper.
Clean and wash the savoy cabbage and cut it into wide strips from the stalk. Heat 1 tablespoon of oil in a wide saucepan. Brown the rest of the onions in it. Add the savoy cabbage and steam briefly while turning, so that the cabbage collapses a little.
Season with salt and pepper.
Preheat oven (electric cooker: 200 °C/circulating air: 175 °C/gas: see manufacturer). For the béchamel sauce, heat butter in a pot. Lightly sauté the flour for approx. 1 minute. Deglaze with 300 ml water and milk while stirring.
Stir in cream cheese, bring to the boil, simmer for about 5 minutes. Season sauce with salt and pepper.
Grate gouda. Spread some sauce in a square casserole dish. Put 3-4 lasagna plates in it, add half of the minced meat. Cover with 3-4 lasagne dishes. Spread cabbage and half the sauce on top. Pour the rest of the lasagne, minced meat and sauce on top.
Sprinkle with cheese. Bake in a hot oven for about 40 minutes.