Preheat your oven to 400°F (200°C). In a mixing bowl, toss the peeled carrots with olive oil, salt, pepper, oregano, smoked paprika, and red pepper flakes. Spread them in a single layer on a lined baking sheet and roast for 25–30 minutes, turning halfway through, until tender and slightly caramelized at the edges.
While the carrots roast, remove the burrata from the refrigerator and let it sit at room temperature. This helps the creamy interior soften beautifully. Gently pat it dry and keep it ready for plating once the carrots are done.
Once the carrots have cooled slightly, arrange them on a large serving board. Place the burrata balls in the center and carefully slice them open so the creamy filling spills slightly. Scatter olives and toasted nuts around the board for color and texture contrast.
Drizzle honey and balsamic glaze over the carrots and burrata. Sprinkle fresh basil leaves and thyme on top for a burst of freshness. Serve immediately with warm crusty bread or pita for dipping and scooping