Preheat the oven to 375 degrees. Place the squash on a baking sheet and roast until tender, about 25 minutes.
Meanwhile, bring a large ovenproof pot of lightly salted water to the boil. Add the pasta and cook until al dente, about 11 minutes. Drain, rinse, and drain again.
Lower the oven to 350 degrees. Place the pasta back in the pot and add the squash, butter, chicken broth, 2 Tbsp of sage, 2 tsp of salt, 1/2 tsp pepper and 2 Tbsp Parmesan. Toss to mix well.
In a small bowl, combine the breadcrumbs, remaining 2 tsp sage, 1/2 tsp salt, 1 Tbsp Parmesan, and pepper to taste.
Sprinkle the mixture over the top of the pasta. Bake for 15 minutes. Divide among 4 plates and serve immediately.