Vegetarian Bolognese with Bucatini

Name: Vegetarian Bolognese with Bucatini
Ingredients: 1 ½ pounds cremini mushrooms, cleaned and quartered; 1 can (28 ounces) whole peeled tomatoes; 2 tablespoons unsalted butter; 2 tablespoons extra-virgin olive oil, plus more for drizzling; 1 medium onion, finely diced; 2 carrots, peeled and finely diced; 2 celery stalks, finely diced; 3 cloves garlic, minced; Kosher salt and freshly ground pepper; ½ cup dry sherry or dry white wine; 1 rosemary sprig, roughly chopped; 1 pound bucatini or spaghetti; 2 ounces Parmigiano-Reggiano or pecorino, finely grated (½ cup), plus more for serving