Preheat the oven to 350°F (175°C).
Lightly coat a 9-inch pie dish with cooking spray.
Heat the olive oil in a skillet over medium heat.
Add the chopped onion and red bell pepper. Cook for 3–4 minutes, until slightly softened.
Add the spinach and cook until wilted. Drain off any excess moisture.
In a large bowl, gently whisk together the egg whites, milk, garlic powder, oregano, salt, and black pepper.
Stir the cooked vegetables, feta cheese, and mozzarella into the egg white mixture.
Pour the mixture evenly into the prepared pie dish.
Bake for 35–45 minutes, or until the edges are set and the center is no longer liquid.
Check the center with a food thermometer if desired. It should reach 160°F (71°C).
Remove from the oven and allow the quiche to rest for 10 minutes before slicing and serving.