Clean the leek, wash it and cut it into rings. Peel, wash and chop the carrots. Sauté both in a large pot in 1 tbsp. hot oil. Add wine, 1 l water and stock, bring to the boil and simmer for about 10 minutes.
Grating cheddar. Stir the cheddar and processed cheese into the soup after about 5 minutes, season with salt and pepper.
Heat 2 tablespoons of oil in a frying pan. Fry the minced meat in it until finely crumbly. Season with salt and pepper. Wash the chives and cut into small rolls. Sprinkle with minced meat on the soup.