Reduce the oven temperature to 375°F (190°C).
Spread a thin layer of butternut squash puree on the bottom of a 9x13 inch baking dish.
Layer lasagna noodles over the squash puree, followed by half of the ricotta mixture, a layer of mozzarella cheese, and a sprinkle of parmesan cheese.
Repeat with another layer of noodles, butternut squash puree, the remaining ricotta mixture, more mozzarella, and parmesan cheese.
Finish with a final layer of noodles, the rest of the butternut squash puree, and the remaining mozzarella and parmesan cheeses.