In a large pot over medium heat, melt the butter with the olive oil. Once hot, add the garlic and sauté for about 1 minute until fragrant.
Stir in the tomato paste and cook for 2 to 3 minutes until it darkens in color and smells rich and concentrated.
Pour in the chicken broth, crushed tomatoes, and heavy cream. Stir until everything is well combined.
Add the Italian seasoning, red pepper flakes, oregano, paprika, salt, pepper, sugar, and chiffonaded basil. Stir everything together.
Stir in the dry anellini pasta and bring the pot to a boil. Once boiling, reduce the heat to medium-low and let it simmer uncovered for about 12 to 15 minutes, stirring often so the pasta doesn’t stick, until the pasta is tender and the sauce is slightly thickened. If the pasta needs more time to cook and has thickened too much, add more broth as needed - I used the full 4 cups.
Once the pasta is cooked through and the sauce has thickened, stir in the parmesan cheese until it melts into the sauce and everything is creamy.
Spoon into bowls and top with a drizzle of olive oil, a dollop of burrata, and more parmesan if you’d like.