In a medium bowl, whisk together the eggs. Add the olives, tomatoes, shredded cheese, feta, salt, pepper, and mix.
Take out the baked phyllo dough from the oven and spread the egg mixture evenly on the baked phyllo sheets.
Season with salt, pepper and dried oregano.
Sprinkle the 1/4 cup shredded cheese and bake at 375° for another 20 minutes.
Remove from the oven and serve. It will taste delicious the day after as well, cold or lightly toasted.