Heat up the olive oil in a medium-sized saucepan. When the olive oil is hot enough, add the onions and sauté them, stirring occasionally, for about 5 minutes—or until they're sweating and translucent. Add a pinch of salt.
Then, add the garlic, crushed chili flakes, and anchovies to the saucepan. Stir everything well and let it all simmer for another minute or so, until the garlic is fragrant.
Add the tomato paste and vegetable broth, and stir until the tomato paste has dissolved and everything is simmering.
Bring the crushed tomatoes to the saucepan along with the fresh herbs and some more crushed red pepper if you'd like.
Bring the sauce to a simmer and let it simmer on low for about 10 minutes. While the sauce is cooking, cook the noodles. Drain and set them aside in a large pot.
Taste the sauce and, if necessary, add more salt. Once the sauce is seasoned to your preference, you can serve it as is if you like a chunkier sauce. If you like a smoother sauce like I do, blend it with an immersion blender, until it reaches your desired consistency.
Spoon the sauce over the pappardelle noodles and gently toss them around to coat them. Transfer the pappardelle to bowls, place about a tablespoon or so of burrata on top, and finish things off with an extra sprinkle of crushed red peppers, a drizzle of extra virgin olive oil, and a few sprigs of fresh basil.