Preheat the oven to 325 F and lightly grease a 12-cup muffin pan with olive oil.
Blend the eggs, egg whites, cottage cheese, garlic powder, salt, and black pepper for 30 seconds, until smooth and lightly foamy.
Divide the spinach, roasted red pepper, and feta among the muffin cups.
Pour the blended egg mixture evenly into the cups, filling each one about three-quarters full.
Place the muffin pan inside a larger roasting pan and pour hot water into the roasting pan until it reaches halfway up the muffin pan.
Bake for 25 to 30 minutes, until the egg bites are puffed and just set in the centers.
Cool them in the pan for 10 minutes before removing and serving.