
Preheat the grill. Heat your gas grill or grill pan to medium-high (about 400°F), and brush the grates clean. If using a charcoal grill, bank the coals to one half of the grill so you have zones for direct and indirect cooking.
Season the carrots. On a rimmed baking sheet, toss the carrots with olive oil, garlic, coriander, cumin, and a generous pinch each of kosher salt and black pepper.
Grill the carrots. Arrange the carrots cut side down directly on the hot grill grates. Close the lid and cook for 8 to 10 minutes, checking often, until nicely marked. Flip and grill for another 8 to 10 minutes, until tender and lightly charred in spots. If the carrots are browning too much, transfer them to indirect heat. Remove carrots from grill.
Finish and serve. Spread labneh on the base of the platter and arrange the grilled carrots on top. Drizzle with zhoug and garnish with roasted pistachios, if you like.