In a large skillet or pot, brown the ground beef over medium heat until fully cooked, about 5-7 minutes. Drain any excess fat.
Add the chopped onion, green bell pepper, and minced garlic to the skillet. Cook until the vegetables are tender, about 3-4 minutes.
Stir in the diced tomatoes, tomato sauce, beef broth, Worcestershire sauce, Italian seasoning, salt, and black pepper. Bring the mixture to a simmer.
Add the elbow macaroni to the skillet, stirring to combine. Cover and cook for about 15 minutes, or until the pasta is tender, stirring occasionally.
Once the pasta is cooked, remove the skillet from heat and stir in the shredded cheddar cheese until melted and well combined.
Serve hot, garnished with additional cheese if desired.