Preheat oven to 425F. Line a large baking pan with parchment paper (if desired).
Slice the carrots into bite-sized pieces. Add to the baking pan.
Drizzle with the olive oil and honey, then add the seasonings and minced garlic. Toss until well-combined.
Roast for 20-25 minutes, until honey is bubbly and carrots are tender. Toss once more after baking to help distribute the glaze.
In the meantime, combine the yogurt, remaining garlic (grated), and olive oil. Season with salt and black pepper to taste. Spread evenly over a serving platter.
Add the honey glazed on top, then add your desired toppings to enjoy!