Thoroughly wash and peel the carrots. Cut them diagonally into approximately 1/4-inch slices, keeping the thickness uniform for even cooking.
Bring a large pot of lightly salted water to a rolling boil. Add the sliced carrots and cook for 4-5 minutes until tender-crisp.
Immediately drain the carrots and plunge into ice water to halt the cooking process and preserve the vibrant color.
In a large skillet over medium heat, melt the butter until foaming but not brown. Add the honey and brown sugar, whisking continuously to prevent scorching.
Season the honey-butter mixture with salt and pepper, adjusting to taste.
Drain the cooled carrots thoroughly and add them to the skillet with the honey-butter mixture. Gently toss to coat each piece evenly.
Increase the heat to medium-high and cook, stirring occasionally, for 8-10 minutes until the sauce thickens and the carrots develop caramelized edges.
Once the carrots are glazed and the sauce has reduced to a syrupy consistency, remove the skillet from heat.
Add the fresh thyme, orange zest (if using), and lemon juice. Toss gently one final time to incorporate these finishing touches.
Transfer to a serving dish and serve warm.