Roasted Butternut Squash Lasagne

Name: Roasted Butternut Squash Lasagne
Ingredients: 1 medium butternut squash; 2 - 4 tablespoons olive oil, divided; 1 large red onion, sliced; 1 pound crimini mushrooms, cut into four (or more if they're larger); 1 1/4 cups vegetable stock, divided; 4 teaspoons fresh thyme leaves, divided; 4 teaspoons fresh sage, minced and divided; 1 pound ricotta cheese; 2 cups grated parmigiano reggiano cheese, divided; 2 large eggs; 3 cups grated fontina cheese, divided; 4 sheets fresh, uncooked, spinach lasagne noodles, about 1 pound