Savory Matzo Brei

Name: Savory Matzo Brei
Ingredients: 3 tablespoons unsalted butter or margarine, plus more if needed; 1 pound cremini mushrooms, coarsely chopped (2 1/2 cups); 1 large yellow onion, chopped (1 3/4 cups); 1/4 cup chopped flat-leaf parsley leaves, plus more for serving; 1 tablespoon chopped fresh thyme leaves; 2 teaspoons chopped fresh rosemary leaves; Kosher salt and freshly ground pepper; 8 large eggs; 8 matzo sheets; Creme fraiche and lemon wedges, for serving