Preheatthe oven to 400°F
Wash the tomatoes without removing them from the vine and place them in a baking dish; season with oil, salt and sugar and bake at 400°F for 10 minutes.
Cook the fettuccine in boiling salted water until al dente.
Cut the burrata into small pieces. Set aside.
Heat a drizzle of oil in a large skillet and add half of the freshly baked tomatoes and any juice in the baking tray.
Drain the pasta, add it to the skillet with the tomatoes and sauté it for 1 minute.
Serve it with the remaining tomatoes, the burrata, and the oregano leaves.