Bring a large pot of salted water to a boil over high heat. Boil until pasta is cooked al dente. When done, drain pasta and set aside.
While the pasta is cooking, add pumpkin puree, hummus, and broth to a large skillet. Stir well to combine. Stir in chili powder, paprika, red pepper flakes, salt, and pepper. Bring to a simmer over medium heat, allowing it to thicken, cooking for about 10 minutes, stirring occasionally.
Stir in Greek yogurt, sun-dried tomatoes, and cheese until combined and cheese is mostly melted. Taste and season with additional salt and pepper to taste.
Add drained pasta to the sauce, tossing to coat.
Serve with a garnish of freshly chopped parsley.