Cook the pasta in plenty of boiling salted water for 8-10 minutes. Drain, quench and drain well.
Peel, wash and finely dice the carrots. Peel and finely dice onions and garlic. Heat the oil in a large pan. Fry the minced meat in it until crumbly. Add the carrots, onions and garlic and fry.
Season with salt, pepper, thyme and marjoram. Stir in tomato paste.
Whisk eggs, cream and milk. Season well with salt, pepper and nutmeg. Grease a tight-fitting springform pan (26 cm Ø). Double the aluminium foil and wrap the springform pan tightly from the outside so that the egg cream does not run out.
Place half of the pasta on the base in a spiral. Spread the mince on top. Grate the cheese and sprinkle half over it. Place the rest of the pasta spirally on top. Pour egg milk over it and sprinkle with the rest of the cheese.
Bake in a preheated oven (electric oven: 200 °C/circulating air: 175 °C/gas: level 3) for 1-1 1/4 hours. If necessary, cover with aluminium foil after approx. 45 minutes. Allow to rest briefly, then remove from the mould. Drink tip: dry red wine, e.g.