Preheat oven to 400-degrees F.
Mix ground beef, eggs, Worcestershire sauce, onion and garlic together.
Place ground beef mixture in deep (at least 4-inches) pan measuring at least 9 x 13 inches.
Top ground beef with a single layer of peppers. Mix peas and corn together and spread over peppers. Top with a layer of shredded potatoes.
Mix remaining ingredients together and pour evenly over potatoes.
Bake casserole for 1 hour and 15 minutes, or until meat is cooked through.
Remove from oven and top with cheese.
Cut into 8 portions and serve.