Preheat oven to 400°F. Line a rimmed baking sheet with parchment paper.
Add honey to a small saucepan and cook over medium heat, stirring frequently, until honey darkens in color, about 2-3 minutes. Remove from heat.
Place carrot batons on prepared baking sheet in a single layer.
In a small bowl, whisk together the gochujang, soy sauce, burnt honey, rice vinegar, vegetable oil, sesame oil, ginger and garlic.
Pour glaze over carrots and toss to coat evenly.
Cover baking sheet tightly with aluminum foil. Roast for 15 minutes, until carrots are fork tender.
Remove foil and roast for 10-15 more minutes, tossing halfway, until carrots are caramelized at the edges.
Add 1-2 tablespoons of water or broth to loosen glaze if it gets too thick.
Transfer carrots to a serving platter. Drizzle with any glaze left in pan.
Garnish with sliced scallions and sesame seeds. Serve warm.