Preheat the oven to 350°F (175°C) and generously grease a large casserole dish.

Sauté chopped onions in a skillet over medium heat until they're translucent, about 5 minutes. Then, add the lean ground beef and minced garlic; cook until nicely browned, about 7-10 minutes.

Combine the beef mixture with tomato sauce, uncooked rice, salt, pepper, and Italian herbs; let it simmer briefly.

Layer half of the chopped cabbage in your greased casserole dish, then spoon on half of the beef mixture. Repeat this process.

Sprinkle shredded sharp cheddar cheese on top of the casserole. Bake uncovered for 30-35 minutes, or until bubbly and golden.