Preheat oven to 375°F (190°C).
In a food processor, blend cottage cheese and Greek yogurt until smooth.
Transfer the cheese mixture to a bowl and stir in the egg, parmesan, oregano, garlic powder, salt, and pepper.
Sauté zucchini, mushrooms, and spinach in a pan for 5 minutes until softened then drain all excess liquid.
Spread 1/2 cup of marinara sauce on the bottom of a 9x13 inch baking dish.
Layer lasagna noodles, 1/3 of the cheese mixture, 1/3 of the sautéed vegetables, and 1/2 cup of marinara sauce.
Repeat layers twice more, finishing with noodles topped with remaining marinara and mozzarella cheese.
Cover the dish with foil and bake for 30 minutes.
Remove the foil and bake for an additional 20 minutes until the cheese is bubbly and golden.
Let the lasagna rest for 15 minutes before slicing to allow the structure to set.