Peel and finely dice the onions and garlic. Fry in 2 tablespoons of hot oil. Sweat tomato paste briefly. Add tomatoes and juice and chop a little. Season with salt, pepper and some sugar, bring to the boil.
Simmer open for about 30 minutes until the sauce thickens.
In the meantime lightly sweat flour in hot butter. 3⁄4 l Stir in water, milk and stock, bring to the boil. Simmer for about 5 minutes. Season to taste with salt, pepper and nutmeg.
Peel or clean, wash and slice the carrots and zucchini. Clean, wash and slice the sliced beans. Drain and halve the artichokes. Wash and finely chop the basil.
Cook the beans in boiling salted water for about 5 minutes. Drain. Fry carrots in 3 tbsp. hot oil for approx. 5 minutes. Fry zucchini for 2-3 minutes. Season and take out. Fry the beans and artichokes in 1 tbsp. hot oil.
Season with salt and pepper, mix with carrots and zucchini. Stir basil into the tomato sauce. Season to taste with salt, pepper and a little sugar. Grate parmesan.
Grease a high fat pan (approx. 32 x 39 cm). Spread some béchamel sauce on it. Put about 8 pasta plates on top. Spread half of the vegetables on top, sprinkle with 50 g parmesan. Pour half béchamel sauce and half tomato sauce on each.
Cover with remaining pasta plates.
Pile the rest of the vegetables, 50 g parmesan, the rest of the béchamel and tomato sauce on top. Drain the mozzarella, cut into slices and spread on the lasagne with the rest of the Parmesan. In a hot oven (electric cooker: 200 °C/circulating air: 175 °C/gas: see
manufacturer) Bake for 40-45 minutes.