Preheat oven to 350°F (175°C) and grease a standard 12-cup muffin tin or silicone mold with non-stick cooking spray.
In a high-speed blender, combine the eggs, liquid egg whites, cottage cheese, salt, pepper, and garlic powder.
Pulse until the mixture is completely smooth and aerated, approximately 30 seconds.
Distribute the finely chopped steamed broccoli evenly among the muffin cups.
Pour the egg mixture into each cup, filling them about three-quarters full.
Top each cup with a portion of the shredded cheddar cheese.
Bake for 20 to 25 minutes, or until the egg bites are set in the center and slightly golden on top.
Remove from oven and let cool for 5 minutes before using a silicone spatula or knife to gently release the bites from the tin.