Heat oil in a large nonstick skillet over medium heat. Add broccoli, carrot, and peas; sauté 8 minutes. Stir in pasta; sauté 1 minute. Combine eggs, egg whites, salt, and pepper in a large bowl; stir with a whisk. Stir egg mixture into vegetable mixture in skillet, and cook 5 minutes. Top with cheese.
Preheat broiler. Wrap handle of skillet with foil; broil frittata 1 1/2 minutes. Serve with spaghetti sauce.