Preheat your oven to 220°C (430°F) and line a baking sheet with parchment paper to prevent sticking.
Wash the broccoli and carrots thoroughly. Cut the broccoli into bite-sized florets, trimming the stems if they’re tender. Slice the carrots into 1/4-inch thick rounds or sticks for even roasting.
In a large bowl, toss the chopped vegetables with olive oil until they’re evenly coated, about 2-3 tablespoons. Sprinkle with flaky sea salt and freshly cracked black pepper to taste, tossing again to distribute the seasonings evenly.
Spread the vegetables out in a single layer on the prepared baking sheet. Make sure they’re not overcrowded to allow for proper caramelization.
Place the baking sheet in the oven and roast for about 20-25 minutes. Halfway through, use tongs or a spatula to toss the vegetables gently, promoting even browning and caramelization.
Check for doneness: the broccoli should have crispy, charred edges, and the carrots should be tender with caramelized spots. If needed, roast for an additional 3-5 minutes, watching closely to prevent burning.
Remove from the oven and transfer to a serving dish. Squeeze fresh lemon juice over the vegetables to brighten their smoky flavor, and sprinkle with chopped herbs if desired.
Serve warm as a cozy side dish, enjoying the tender, smoky, and caramelized vegetables with their crisp edges and bright citrus aroma.