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1
Put an oven rack in the center of the oven.
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2
Preheat the oven to 400 degrees F. Butter a 13 by 9 by 2-inch baking dish.
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3
Set aside.
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4
Sauce: In a 2-quart saucepan, melt the butter over medium heat.
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5
Add the flour and whisk until smooth.
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6
Gradually add the warm milk, whisking constantly to prevent lumps.
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7
Simmer over medium heat, whisking constantly, until the sauce is thick and smooth, about 8 minutes (do not allow the mixture to boil).
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8
Remove the pan from the heat and add the cheeses and nutmeg.
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9
Stir until the cheeses have melted and the sauce is smooth.
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10
Add the prosciutto, 1 tablespoon salt and 2 teaspoons pepper.
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11
Filling: In a large skillet, heat the oil and butter over medium-high heat.
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12
Add the onion, season with salt and pepper, to taste, and cook, stirring frequently until soft, about 5 to 6 minutes.
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13
Add the garlic and cook until aromatic, about 30 seconds.
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14
Add the mushrooms, rosemary and thyme and season with salt and pepper, to taste.
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15
Cook, stirring occasionally, until the mushrooms are golden and the liquid has evaporated, about 8 to 10 minutes.
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16
Add 1 tablespoon salt and 2 teaspoons pepper.
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17
Bring a large pot of salted water to a boil over high heat.
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18
Add the noodles and cook until tender but still firm to the bite, stirring occasionally, about 8 to 10 minutes.
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19
Drain and set aside.
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20
To assemble the lasagna: Ladle 1/2 cup of the sauce over the bottom of the prepared baking dish.
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21
Lay 3 pasta noodles on top.
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22
Spoon 1/2 of the mushroom mixture on top of the pasta.
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23
Ladle 1 cup of the sauce over the mushroom mixture and lay 3 more noodles on top.
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24
Repeat the layers using the remaining mushroom mixture, 1 cup of sauce and the remaining 3 noodles.
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25
Top with the remaining sauce and sprinkle with 1 cup smoked mozzarella cheese and 1/2 cup Parmesan.
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26
Drizzle the top with olive oil and bake until the top is golden and the filling is bubbling about 35 to 40 minutes.
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27
Remove from the oven and cool for 5 minutes.
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28
Cut the lasagna into wedges and serve.