Ratatouille Lasagna

Name: Ratatouille Lasagna
Ingredients: 4 tablespoons olive oil, divided; 1 yellow onion, diced; 3 bell peppers, seeded and chopped; 6 cloves garlic, minced, divided; salt, to taste; pepper, to taste; 1 lb eggplant, cut into ½-inch (1 cm) cubes; 2 yellow squashes, cut into ½-inch (1 cm) cubes; 2 medium zucchinis, cut into ½-inch (1 cm) cubes; 12 oz tomato paste; 1 tablespoon dried oregano; 2 tablespoons fresh thyme; 28 oz diced tomato; 30 oz ricotta cheese; 1 cup shredded mozzarella cheese; ¼ cup fresh basil, chopped; ½ cup fresh parsley, chopped; 1 egg; 2 japanese eggplants, thinly sliced; 2 zucchinis, thinly sliced; 2 yellow squashes, thinly sliced; 6 roma tomatoes, thinly sliced; lasagna noodle, cooked