In a medium bowl, whisk all marinade ingredients well. Set aside.
Carrot Dogs
Place about 1 " of water into a large pot that will fit your steamer basket. Place your basket on the bottom and cover pot with a lid. Turn heat to high and bring to a boil. Once boiling, turn heat to med-low to maintain a low boil and place carrots in basket. Cover and cook until carrots are tender throughout, about 20-25 minutes. *Keep an eye on the water so it doesn't fully evaporate. Add more hot water if needed.
In a 2-quart baking dish(or similar), arrange the carrot so they all lay flat on the bottom. Pour the marinade on top of the carrots. Turn a few times and then spoon marinade on the top side of carrots. Cover and marinate in the fridge for 2-3 hours, turning once at the halfway mark and spoon mixture on top side of carrots again.
Preheat your grill to med-high heat. Grill carrots for 2-3 minutes on each side, until lightly browned and they have charred grill marks (You can also use a lightly oiled grill pan over medium heat). Place buns on the grill for 1-2 minutes for grill marks (watch carefully).
Dress the carrot dogs up and serve immediately. (*see notes for ideas) Enjoy!
Notes
* Topping ideas: ketchup, mustard, vegan mayonnaise, barbecue sauce, salsa, hot sauce, chipotle sauce, relish, pickles, diced onion, roasted corn, jalapeños, fresh herbs, vegan sour cream, shredded vegan cheese, sauerkraut, pepperoncini and vegan bacon. * Prep time doesn't include marinating time of 2-3 hours.