Spray 12x10-inch sheet of foil with nonstick cooking spray. In medium bowl, combine pasta sauce and zucchini; mix well. In another medium bowl, combine cottage cheese, spinach, Parmesan cheese and oregano; mix well.
Spread 1/4 cup sauce mixture in ungreased 8-inch square (2-quart) glass baking dish. Top with 2 lasagna noodles. Spread about 1/2 cup sauce mixture over noodles. Drop 1/2 cup of spinach mixture by small spoonfuls over sauce mixture; spread carefully. Sprinkle with 1/4 of mushrooms and 1/2 cup of the mozzarella cheese.
Repeat layers 3 more times, beginning with noodles. Cover with foil, sprayed side down; refrigerate at least 8 hours or overnight.
Heat oven to 400°F. Bake covered for 45 minutes.
Uncover baking dish; bake an additional 10 minutes or until lasagna is bubbly around edges. Let stand 10 minutes before serving.