Heat oil in a small skillet over medium heat. When hot, add the onions and garlic and cook, stirring, until the onions are just tender, about 4 minutes. Add the salt, pepper, smoked paprika, paprika, and cayenne pepper and continue to cook, stirring, until the spices are very fragrant and toasted, about 2 minutes.
Add the tomatoes, the juice from the tomatoes, chicken broth, and vinegar to the skillet and bring the contents to a rapid simmer. Cooking, simmering and stirring often, until the tomatoes are fall apart tender and the flavors have melded, about 10 minutes.
Using an immersion blender, blend the bravas sauce until smooth. Alternatively, you can transfer the sauce into a blender or food processor and blend until smooth. Transfer back to the skillet and keep on low, uncovered, to stay warm, stirring occasionally.