Preheat oven to 350 degrees. Line cupcake pan with paper cupcake liners. Sift together flour blend, cinnamon, ginger, baking powder, baking soda, and salt. Set aside. In large mixing bowl, stir together coconut milk and vinegar until curdled. Stir in brown sugar, sugar, carrots, oil, carrot juice, applesauce, maple syrup and vanilla. Slowly add flour mixture and whisk until combined. Pour batter into prepared cupcake pan. Bake for 10-12 minutes, or until toothpick inserted in center of cupcake comes out clean. Place cupcakes on cooling rack and cool completely.