Bake These Vegan Carrot Cake Cupcakes and Your Kitchen Will Smell Like Fall

Name: Bake These Vegan Carrot Cake Cupcakes and Your Kitchen Will Smell Like Fall
Ingredients: 1/3 cup (about 1 3/4 ounces) flax meal; 1/2 cup hot water (about 115°F); 3/4 cup packed light brown sugar; 3/4 cups granulated sugar; 1/4 cup (2 3/8 ounces) unsweetened applesauce; 2 1/2 cups (about 10 7/8 ounces) all-purpose flour; 2 teaspoons pumpkin pie spice; 2 teaspoons baking powder; 3/4 teaspoon kosher salt; 1/2 cup vegetable oil; 3 cups (12 ounces) finely grated carrots (from 1 [1-pound] package fresh peeled carrots); 3/4 cup aquafaba; 1 3/4 cups granulated sugar; 3/4 teaspoon cream of tartar; 1/8 teaspoon xanthan gum; 2 cups vegan butter , softened (about 1 pound); 2 teaspoons fresh lemon juice; 1 teaspoon vanilla extract