Clean the leek, wash it, quarter it lengthwise and cut it into pieces. Peel, wash and chop the carrots. Peel garlic and put it through a garlic press. Heat 1 tablespoon of oil and fry the minced meat until crumbly.
Add prepared vegetables and garlic and fry briefly. Season with salt, pepper and marjoram. Add tomato paste, sweat briefly. Add tomatoes with juice and chop with a spatula.
Bring to the boil once, then cover and stew for about 10 minutes over a mild heat. Clean and wash the chicory and cut in half lengthwise. Heat 2 tablespoons of oil in a large pan. Fry the chicory for about 2 minutes on each side.
Deglaze with stock, cover and cook for another 3 minutes. Season minced sauce with salt and pepper, drain chicory. Serve chicory with minced sauce and crème fraîche. Garnish with marjoram.