Cook lasagna noodles according to package directions, but do not add salt.
While noodles are cooking, preheat oven to 350 degrees. Spray a 13 x 9" baking dish with vegetable cooking spray; set aside.
In a small bowl, combine tomato sauce, garlic and oregano. Mix well. In a medium bowl, combine broccoli, carrot, ricotta and parmesan. Mix well.
Drain noodles in a colander. Spread 1/2 c of tomato sauce in bottom of prepared dish. Place 3 noodles on top of tomato sauce. Spread half of broccoli mixture over noodles. Spoon 1/2 c of tomato sauce over broccoli; place 3 noodles on top. Spread with remaining broccoli mixture; top with 1/2 c of tomato sauce.
Top with remaining noodles and tomato sauce; sprinkle mozzarella over top. Bake until bubbling, about 45 minutes. Place on a wire rack and cool for about 15 minutes; cut into squares.