Preheat your oven to 400°F (200°C).
Heat the olive oil in a medium oven-safe skillet over medium heat.
Add the minced garlic, cubed eggplant, and sliced zucchini to the skillet and sauté for 5-7 minutes until the vegetables begin to soften.
Stir in the tomato puree, dried oregano, sea salt, and black pepper, allowing the mixture to simmer for 2 minutes.
Pour the liquid egg whites into the vegetable mixture and stir gently to combine, which adds volume and protein to the base.
Use the back of a spoon to create four small wells in the vegetable and sauce mixture.
Carefully crack one whole egg into each of the four wells.
Sprinkle the crumbled feta cheese evenly over the top of the skillet.
Transfer the skillet to the oven and bake for 8-10 minutes, or until the egg whites are fully set but the yolks are still soft.
Remove from the oven and serve immediately while hot.