Preheat your oven to 400 degrees Fahrenheit.
Cut the tops off the beets, scrub them clean, and slice into wedges. Halve the carrots lengthwise.
Toss the beets and carrots in olive oil seasoned with salt, then spread on a baking sheet.
Whisk together vinegar, honey, garlic, rosemary, salt, and remaining olive oil for the dressing.
Sauté reserved beet greens in olive oil until slightly wilted, about two minutes.
Assemble the salad by layering sautéed beet greens, roasted vegetables, burrata, and dressing.