Spring Veggie Lasagna

Name: Spring Veggie Lasagna
Ingredients: 20 spears of the fattest asparagus spears you can find; 2-3 tablespoons olive oil, divided; 1/2 teaspoon dried thyme leaves; 2 medium zucchinis; 2 beefsteak-like tomatoes; 2 plum tomatoes; 1/2 cup ricotta cheese; 1/4 cup cottage cheese; 1/4 cup Parmesan cheese, divided; 2 stalks spring garlic, white and light green parts, sliced; 2 tablespoons fresh thyme leaves, chopped; 1/2 serrano pepper, seeded (optional); lemon juice from 1/2 lemon; 1 cup baby spinach leaves; 4 cloves garlic, minced; 1/2 teaspoon salt