Bring a large pot of lightly salted water to the boil. Add pasta and cook until just al dente, 6 to 8 minutes; drain. Run cold water over the pasta to stop pasta from cooking further. Set aside.
Meanwhile, cook the minced beef and sausagemeat until completely browned and crumbled, 7 to 10 minutes. Mix in the onion, celery, garlic and pepper; continue to cook and stir another 5 minutes. Season with salt and pepper. Remove from heat and stir in tomatoes and passata. Allow to cool 5 minutes.
Lightly grease a large baking dish. Spread the pasta over the bottom of the dish. Sprinkle over Parmesan and mozzarella cheese, followed by the meat mixture. Cover dish with foil. Bake in preheated oven for 45 minutes; remove foil and sprinkle over Cheddar cheese. Continue baking until Cheddar cheese has melted, about 5 minutes. Rest for 10 minutes before serving.