Preheat the oven to broil and place a pan inside to heat up.
Prepare the barbecue spice mix by combining brown sugar, smoked paprika, salt, pepper, garlic powder, and onion powder.
Toss the carrots with oil, salt, and the barbecue spice mix.
Add a little oil to the heated pan and place the seasoned carrots on it.
Broil the carrots until caramelized, flipping halfway through for even cooking.
Serve the caramelized barbecue carrots with a side of Greek yogurt mixed with sweet lemon juice.
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