Peel and chop the onion and garlic. Peel carrots and also cut into fine cubes. Heat the oil in a pot and fry the minced meat until crumbly. Season with salt and pepper. Add onion, garlic and carrots and fry briefly. Add tomato paste and sauté briefly. Deglaze with 200 ml water and chunky tomatoes. Season with salt, pepper and sugar, let everything simmer for about 15 minutes. Wash basil, shake dry and chop except for a little bit for garnishing
Melt the fat in a pot. Add flour and sweat for about 1 minute while stirring at low heat. Deglaze with the milk bit by bit while stirring constantly. Let simmer for about 3 minutes while stirring occasionally. Grate cheese and stir half into the sauce. Stir the chopped basil into the minced mass
In a casserole dish, alternately layer the minced meat, 3 lasagne dishes and cheese sauce, finish with the cheese sauce and sprinkle with cheese. Bake in a preheated oven (electric cooker: 200 °C/ convection oven: 175 °C/ gas: see manufacturer) for approx. 30 minutes until golden brown. Remove, sprinkle with the remaining basil and serve immediately