Meatless Monday Lasagna

Name: Meatless Monday Lasagna
Ingredients: 1 (16 ounce) package dry lasagna noodles; 3 tablespoons olive oil, divided; 4 cups shredded part-skim mozzarella cheese, divided; 1 (15 ounce) container part-skim ricotta cheese; 0.5 cup shredded Parmesan cheese, divided; 4 ounces silken tofu; 2 large eggs; 2 large carrots, shredded; 2 medium zucchini, diced; 1 medium yellow onion, diced; 1 medium red bell pepper, diced; 1 cup sliced portobello mushrooms; 1.5 (28 ounce) jars pasta sauce; 4 ounces fresh baby spinach