Bring a large pot of salted water to a boil and cook the tortellini according to package directions until al dente; drain and set aside.
Heat a large skillet over medium heat and add the olive oil and sun-dried tomato oil.
Add the minced garlic to the skillet and sauté for about 1 minute until fragrant.
Add the shrimp and cook 2–3 minutes per side until they are almost cooked through.
Stir in the whipping cream, chicken broth, paprika, salt, sugar, and black pepper; bring the sauce to a gentle simmer.
Add the sliced sun-dried tomatoes and the cooked tortellini to the skillet and toss to coat in the sauce until heated through.
Remove from heat, sprinkle with chopped parsley, and serve immediately.