"A regular spoon works great for stuffing the manicotti noodles, but for a slightly faster fill you could use a piping bag instead...."
INGREDIENTS
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6 tablespoons unsalted butter, divided
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1 medium onion, chopped
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2 garlic cloves, finely chopped
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2 teaspoons kosher salt, divided, plus more
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3/4 teaspoon freshly ground pepper, divided
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1 (28-ounce) can whole peeled tomatoes
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1 (14-ounce) can whole peeled or diced tomatoes
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1 1/4 cups (packed) basil leaves, coarsely chopped, divided
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8 ounces dried manicotti noodles
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Olive or vegetable oil (for greasing)
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1/4 cup all-purpose flour
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2 cups whole milk
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1 cup grated Parmesan (about 3 ounces), divided
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2/3 cup grated Pecorino Romano (about 2 ounces), divided
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1 pound fresh ricotta
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8 ounces fresh mozzarella, cut into 1/2" pieces
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1 shallot, finely chopped
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1 large egg