Add the carrots to a small roasting pan and toss with olive oil.
In a small bowl, make the marinade. Whisk together veggie broth, apple cider vinegar, liquid aminos, maple syrup, garlic powder, smoked paprika, and liquid smoke. Pour the mixture over carrots and cover the pan with foil. Let sit for 30-45 minutes, rotating several times to be sure all the carrots marry with the marinade.
Preheat oven to 425°F. Place the foil-covered baking dish in the oven and roast carrots for 30 minutes. Remove the foil and roast for another 20-30 minutes, until the carrots are just tender enough to stab with a fork.
Chop onions (or other toppings of your choice).
Place carrots in hot dog buns, then serve with condiments of your choice.