Preheat the oven to 350 degrees.
Spray a 9 x 13 ceramic baking dish with cooking spray and set aside.
In a large skillet, heat one tablespoon of olive oil over medium heat. Add the sliced mushrooms and cook until tender, about 5 minutes.
Place the cooked mushrooms into the baking dish.
Using the same skillet, heat the last tablespoon of olive oil over medium heat. Add the onion and bell pepper and cook until the onion is translucent and both vegetables are tender.
Add the broccoli to the pan with the onions and peppers. Break up the broccoli into small pieces as it cooks thoroughly.
Add the vegetables to the baking dish with the mushrooms.
In a large mixing bowl (you can do this while the vegetables are cooking), whisk the eggs, greek yogurt, garlic powder, onion powder, salt, and pepper.
Pour the egg mixture over the vegetables, add the cheese, and then give it a couple of slow stirs. You can sprinkle some cheese on top.
Place the dish into the oven and bake for 45 – 55 minutes or until the center is set.
Serve hot. Sprinkle with green onions, if you want.