Coat the bottom of a large skillet with 1 ½ teaspoons of oil and place it over medium heat.
When the oil is hot, add the garlic, ginger, scallion, and carrot to the skillet. Cook everything for about 5 minutes, stirring frequently, until the carrot begins to become tender.
Crumble the tofu into the skillet and continue to cook everything for about 5 minutes, until the tofu dries up just a bit, flipping occasionally with a spatula.
Add the soy sauce and liquid smoke to the skillet and flip everything a few times to distribute the ingredients. Continue cooking the mixture for about 5 minutes, until most of the liquid dries up.
Remove the skillet from heat, taste-test the mixture, and adjust any seasonings to taste.
Fill a small bowl with water. Set a wonton wrapper on a work surface, then moisten the edges of the wrapper with water.
Place a heaping teaspoon of filling in the center of the wrapper, then fold it over the filling, creating a triangle shape. Press to seal.
Repeat until all of the wrappers and filling are used.
Wipe out the skillet that you used for the tofu, then generously coat the bottom with oil and place it over medium heat.
When the oil begins to shimmer, add a few dumplings, being careful not to crowd the skillet.
Cook the dumplings for about 3 minutes on each side, until crispy.
Transfer the cooked dumplings to a paper towel-lined plate.
Repeat until all of the dumplings are cooked, adding oil to the skillet as needed between batches.
Stir all ingredients together in a small bowl. I like to garnish mine with scallions and a few sesame seeds.
*Check the ingredients to ensure that your wonton wrappers are vegan. I usually buy them at Wegmans or an Asian market. You can also make your own without too much effort.