Preheat oven to 425 F. Heat 2 tablespoons of the olive oil in a 12-inch skillet over medium heat until shimmering. Add the onion and mushrooms. Cook, stirring occasionally until softened and lightly browned 10-15 min. Season to taste with salt, peppers and Italian herbs. Stir in cream chees. Cook until cheese is completely melted, remove from the heat. Now it's time for a Béchamel sauce. In a medium, heavy bottom sauce pan, melt the butter over medium-low heat. Add the flour and stir until smooth. Over medium heat, cook until the mixture turns a slightly golden color, about 7-8 minutes. Meanwhile, heat the milk in a separate pan until just about to boil. Slowly add milk to a butter mixture, whisking continuously until very smooth. Bring to a boil. Cook 10 minutes, stirring constantly, then remove from heat. Season with salt and ground nutmeg. Set aside. Cook the lasagna noodles in a salt boiling water, as described on the box. Drain and place in a single layer on dry paper towel sheets. Toss together the shredded Mozzarella and Parmesan cheeses in a small bowl. Cover the bottom of 7x11x2 Chinet baking pan with a 1/2 cup of Béchamel sauce. Arrange 4 noodles in a single layer on top of the sauce. Spread 1/2 cup of the sauce evenly over the noodles, then sprinkle with a half of the mushroom mixture and ¾ cup of the cheese mixture. Repeat the layering of noodles, sauce, mushroom mixture, and cheese one more times. For the final layer, arrange the remaining 4 noodles on top and cover completely with the remaining sauce. Sprinkle with the remaining cheese and 1 teaspoon of Italian herbs. Drizzle with an olive oil. Bake for about 25 minutes, or until golden brown. Let cool for 10-15 minutes before serving.