Preheat the oven to 325 degrees F (165 degrees C). Spray an 8x8-inch baking dish with cooking spray.
Allow mixed vegetables to cool once cooked.
Combine eggs, Shamrock Farms Premium Sour Cream, Shamrock Farms Cottage Cheese, flour, salt, and pepper in a medium bowl. Stir together or blend in a food processor until the mixture is smooth, about 1 minute.
Pour the egg mixture into a bowl with the vegetables. Add 1 cup cheese and mix. Pour the mixture into the baking dish and smooth out the top. Top with remaining cheese.
Bake until set, about 45 minutes. Remove the baking dish from the oven. The quiche will be puffed up, but will fall slightly as it cools. Allow it to cool, then refrigerate. Cut into squares and serve.