Arrange an oven rack to the middle position. Preheat oven to 425ºF (218ºC). Line a rimmed baking sheet with parchment paper or foil.
Peel, trim, and cut the carrots (2 pounds) on a diagonal, about 1-1.5 inches in length. (If your carrots are thick, you can cut them in half, too.)
Add the carrots to the prepared baking sheet.
In a mixing bowl, combine the melted butter, garlic (4 cloves), 2 tablespoons honey, sugar (1 teaspoon), cinnamon or allspice (a pinch), lemon juice (1 tablespoon), salt (1 teaspoon), and black pepper (1/4 teaspoon). Pour over carrots then arrange carrots in a single layer on the baking sheet.
Roast in preheated oven for 20-25 minutes, tossing halfway through, or until you reach your desired tenderness. If you'd like more caramelization on the carrots, broil, watching very carefully, for a few minutes. Cool for a couple of minutes. Drizzle with the remaining 1 tablespoon of honey.
Add carrots to the serving dish and sprinkle lightly with coarse salt and parsley (1 teaspoon). Taste the seasoning and adjust salt and pepper to your taste. Serve.