Blanch peas in boiling salted water for about 4 minutes, pour into a sieve, rinse cold and drain. Roast the pine nuts in a pan without fat until golden brown, take them out. Wash basil, except for 2-3 stems, shake dry, pluck leaves and chop finely. Peel garlic and chop finely. Grate 35 g Parmesan finely. Puree pine nuts, parmesan, peas and basil in a tall mixing bowl. Add 100 ml olive oil slowly. Season to taste with salt and pepper. Keep cool until used
Peel the carrots and cut them lengthwise into thin strips. Blanch the carrots in boiling salted water for about 2 minutes and drain well in a sieve
Wash and clean the aubergine and cut into thin slices. Heat 3 tablespoons of oil in portions in a large frying pan. Fry the aubergine slices in the oil for 3-4 minutes, turning them over, take them out and let them drip off on kitchen paper
Wash the tomatoes. Heat 1 tablespoon of oil in a frying pan. Sauté the tomatoes for about 2 minutes while turning. Sprinkle with sugar, caramelise briefly and deglaze with vinegar. Season with salt and pepper. Drain the mozzarella
Wash the lemon hot, grate dry and grate the peel thinly. Halve the lemon, squeeze one half. Melt the fat in a saucepan. Stir in flour and sweat briefly. Add stock, milk, cream cheese, lemon juice and zest while stirring. Bring to the boil, let it boil for about 5 minutes, season to taste with salt and nutmeg
Grease an ovenproof dish (approx. 17 x 26 x 5 cm). Spread some béchamel sauce thinly on the bottom of the dish. Spread carrot strips on top. Add some béchamel sauce and cover with 3 lasagne sheets. Spread some béchamel sauce on the lasagne plates. Spread tomatoes, mozzarella and 1/3 of the pesto on top. Cover with 3 lasagne dishes. Spread some béchamel sauce on the lasagne plates again and spread aubergine slices on top. Spread the rest of the béchamel sauce on the aubergines and finish with 3 lasagne plates. Grate 30 g Parmesan and Gouda cheese, mix with breadcrumbs. Spread the cheese mixture on the lasagne. Bake in a preheated oven (electric cooker: 200 °C/ convection oven: 175 °C/ gas: see manufacturer) for 40-45 minutes until golden brown.
Wash the rest of the basil, shake dry, pluck the leaves and chop finely. Take lasagne out of the oven, sprinkle with basil and add pea pesto or a bowl of pea pesto as desired