Preheat oven to 400 degrees F.
Toss the carrots with vegetable oil, salt and pepper and lay flat on a baking sheet. Bake for 15 minutes and then turn the carrots. Bake for an additional 15 minutes.
Meanwhile, add the scallion, mint leaves, red pepper flakes, olive oil, lemon juice, salt, honey and Greek yogurt to a food processor. Process until smooth.
When the carrots are cooked, top with mint yogurt sauce and serve.