In a low Dutch oven, sauté shallots, carrots, celery, red pepper, salt, pepper, and garlic until translucent. Add in meat, cover, and cook until browned.
Stir in tomato paste, milk, beef broth, diced tomatoes, and dried oregano. Bring to a boil.
Place noodles on top, gently working them into the sauce. Be careful not to break them. Cover to let them steam and soften if needed.
Once pasta is softened and cooked, stir in heavy cream and mozzarella cheese. Let cook 7–10 more minutes. Garnish with Parmesan and serve hot.