Peel and finely chop the onion. Wash marjoram, dab dry and chop leaves of 5 stalks finely. Finely dice the tomatoes. Knead the ground pork, chopped marjoram, diced tomatoes and diced onion and season with salt, pepper and paprika.
Mix tomato sauce and sour cream, bring to the boil and put into the mould. Wash the steaks, dab dry and season with salt and pepper. Heat oil in a pan and fry the steaks briefly on both sides.
Cover each steak with a slice of pork loin and spread the mince on top. Place the steaks in the sauce and cook in the preheated oven (electric cooker: 175 °C/ convection oven: 150 °C/ gas: level 2) for 30-40 minutes.
Meanwhile clean, wash and cut the leek into thin strips. Prepare rice in boiling salted water according to package instructions, add the leek strips about 5 minutes before the end of cooking. Grate the cheese and sprinkle over the steaks approx. 10 minutes before the end of cooking.
Drain rice and add butter. Garnish steaks with marjoram.