Preheat oven to 350 degrees
Combine ricotta cheese, egg, and 1/2 cup grated parmesan. Set aside
Spread 1/2 cup of bechamel on the bottom of the baking dish
Lay a sheet(s) of lasagna to fit your pan over the sauce, add a layer of sauce, and 1/4 of each of the vegetables and 2 tablespoons of grated parmesan cheese. Repeat once
Add another lasagna sheet and spread half of the ricotta mixture.
Add 2 more layers of the vegetables, béchamel and parm followed by another layer of ricotta topped with one more layer of pasta
Pour remaining béchamel over the last sheet of pasta and top with grated mozzarella cheese, remaining parmesan, a pinch of kosher salt and pepper. Add any of the remaining vegetables for presentation. Tip: to get the top golden brown drizzle with olive oil.
Bake uncovered on the middle rack for 45 minutes to 1 hour