Preheat your oven to 350°F (175°C) and line an 8x8 inch baking dish with parchment paper.

In a mixing bowl, whisk together the eggs, egg whites, milk, salt, and pepper until well combined and frothy.

Pour the egg mixture into the prepared baking dish and bake for 15 minutes until the egg is set.

Let the baked egg cool, then cut into squares or circles for your sandwich.

Assemble the sandwiches by placing an egg patty on each muffin half, adding pesto and cheese before capping with the other muffin half.

For immediate serving, bake the assembled sandwiches for an additional 5-10 minutes or wrap tightly in parchment for freezing.