Preheat oven to 425 F. Slice peppers in half lengthwise, remove the insides and seeds. Bake for 20-30 minutes.
Prepare pasta al dente according to package instructions. Let cool.
Whisk together garlic, Dijon mustard, honey, red wine vinegar, olive oil, oregano, and salt to make the dressing.
Combine pasta, roasted peppers, red onion, and basil in a bowl. Add dressing and toss to coat.
Break burrata into pieces and place on top of the salad. Serve immediately or refrigerate.
