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In a glass bowl, combine oil, onion, mushrooms, zucchini, garlic,
rosemary, oregano, 1/2 teaspoon salt and 1/8 teaspoon pepper.
Cover with plastic wrap. Turn back one corner to vent. Microwave on HIGH for 6 minutes, stirring once.
In a microwave-safe, shallow 3 1/2-quart baking dish, spread 1 cup
sauce. Cover with 3 noodles; spread with half the ricotta or cottage
cheese. Drain vegetable mixture. Arrange half the mixture over ricotta
or cottage cheese. Sprinkle with half the mozzarella and 1/4 cup
Parmesan; spoon 1 cup sauce over cheeses.
Repeat with remaining ingredients, ending with 3 noodles spread with 1 cup sauce; sprinkle with remaining Parmesan.
Cover; vent. Cook on MEDIUM 35 to 40 minutes, rotating dish every 10 minutes, until noodles are tender.