Preheat the oven to 400°F. Line a baking sheet with parchment paper. Place the cut carrots on the baking sheet. Toss the carrots with 1 tablespoon of the olive oil, salt, pepper, garlic powder, and ground coriander. Once carrots are evenly coated, spread them out in a single layer and pop the baking sheet into the oven. Roasted the carrots until tender and slightly caramelized on the edges, about 25 minutes. Set aside.
Pour the vegetable stock into a medium saucepan and set it over medium heat. Add the miso to the stock. Once it starts to simmer, lower the heat so that it’s just barely simmering and staying warm. Give it a quick whisk to dissolve/distribute the miso. Put a lid on top and set a ladle out on the counter nearby.
Heat a heavy bottomed pot or Dutch oven over medium heat. Pour the remaining olive oil into the pot and swirl it around. Add the shallots and sauté until very soft and translucent, about 8 minutes. If they’re starting to brown too fast, lower the heat.
To the shallots, add the smoked paprika, thyme, and nutritional yeast. Stir and cook until spices are very fragrant, about 1 minute. Season with salt and pepper. Add the barley to the pot and stir to coat in the shallots, oil, and spices. Let it toast for a minute or so.
Pour the white wine into the pot and stir. It should come up to a boil immediately. Let it continue to simmer and cook out for 2 minutes or so, stirring often.
Remove the lid from the pot of stock. Add two full ladles of vegetable stock to the pot with the barley and stir. The liquid should be simmering and bubbling. Keep stirring here there until almost all of the liquid is absorbed, about 3 minutes. Continue to add the stock, 2 ladles at a time, stirring often. Each time, you'll be cooking until the mixture seems a little dry, then proceeding with adding more.
You should be cooking the barley risotto for a total of 25-30 minutes, or until the grains of barley are al dente and the texture overall is creamy.
Once the barley risotto is done, check it for seasoning and adjust if necessary. Stir in the roasted carrots or simply serve them on top.
Garnish servings of the barley risotto with chopped fresh dill, finely grated walnuts, and some freshly ground black pepper. Enjoy immediately.