Creamy Mushroom Pasta With Vegetarian Sausage

Name: Creamy Mushroom Pasta With Vegetarian Sausage
Ingredients: 1/2 ounce dried mushrooms, such as porcini, oyster, wood ear, or a mix; 1 cup dry white wine (see Author Notes); 1/4 cup extra-virgin olive oil, divided; 12 ounces vegetarian or regular sweet Italian or bratwurst sausages, casings removed and broken into pieces (see Author Notes); 1 pound mixed fresh mushrooms, like cremini, oyster, shiitake, maitake, and/or chanterelles, cleaned, ends trimmed, and thinly sliced; Kosher salt and freshly ground black pepper; 1 large shallot, finely chopped; 4 garlic cloves, minced; 1 cup heavy cream (see Author Notes); 1 1/2 teaspoons minced fresh rosemary, plus more for serving; 1 pound tubular pasta, such as rigatoni or penne; 1 1/2 ounces (⅓ cup) finely grated Pecorino Romano, plus more for serving; Lemon wedges, for serving