Preheat your oven to 400°F (200°C) and prepare the vegetables by washing and trimming them.

In a mixing bowl, whisk together olive oil, honey, balsamic vinegar, minced garlic, dried thyme, salt, and pepper to create the glaze.

Combine chopped carrots and green beans in a large bowl and pour the honey glaze over the vegetables, tossing to coat well.

Spread the coated vegetables in a single layer on a baking sheet and roast for 20-25 minutes, stirring halfway through.

For extra caramelization, broil the roasted vegetables for 1-2 minutes, watching closely to prevent burning.

Remove from the oven, let cool for a few minutes, and garnish with parsley or sesame seeds before serving.