Special equipment: 12 paper cupcake liners; a 12-cup cupcake pan
For the batter: Preheat the oven to 350 degrees F and move a rack to the middle of the oven. Place 12 paper liners in a cupcake pan.
Combine the coconut milk and apple cider vinegar in a small bowl, set aside to curdle.
Sift together the sorghum flour, potato starch, cornstarch, baking powder, baking soda and salt in a large bowl. Stir in the coconut milk and apple cider mixture. Add the granulated sugar, orange juice, oil and vanilla extract. Whisk for 1 minute. The batter should become smooth and start to thicken up. Fill each cupcake liner two-thirds full. Bake until a toothpick inserted into the center of a cupcake comes out clean, 25 to 30 minutes.
Cool the cupcakes until no longer warm to the touch, 30 minutes.
For the frosting: Add the butter and shortening to large bowl and whisk together. Sift in the confectioners' sugar. Pour in the orange juice, zest and vanilla extract, and whisk until smooth.
Spread the frosting (about 3 tablespoons each) onto the cooled cupcakes.
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