Preheat your oven to 425°F (220°C). On a large baking sheet, toss the sliced portobello mushrooms, broccoli florets, chopped onion, red and orange bell peppers, zucchini, and grape tomatoes with olive oil, salt, and pepper. Spread them out in a single layer and roast for 20-25 minutes, or until the vegetables are tender and slightly caramelized.
In a mixing bowl, combine the ricotta cheese, freshly grated parmesan cheese, dried basil, dried oregano, salt, and pepper. Mix well until all ingredients are thoroughly combined.
In a 9x13 inch baking dish, spread a thin layer of marinara sauce on the bottom. Place a layer of no-boil lasagna noodles over the sauce, breaking them if necessary to fit. Next, spread half of the ricotta mixture over the noodles, followed by half of the roasted vegetables. Sprinkle a layer of provolone and mozzarella cheese over the veggies. Repeat this layering process, starting with marinara sauce, noodles, ricotta, vegetables, and cheeses.
For the final layer, add one last layer of noodles, cover with remaining marinara sauce, and top with the remaining provolone and mozzarella cheeses. Tear the burrata balls into pieces and scatter them over the top of the lasagna.
Cover the baking dish with aluminum foil and bake in the preheated oven for 30 minutes. After 30 minutes, remove the foil and bake for an additional 15-20 minutes or until the cheese is bubbly and golden brown.
Once out of the oven, let the lasagna rest for at least 15 minutes before slicing. This will help the layers set and make serving easier.