No Allergy Cake and Frosting

So here is a recipe for cake and frosting from
http://onecharmingparty.com/category/awesome-first-birthdays/Simple Cake
I still have to figure out what agave nectar is, but I think I am going to try it.

2/3 cup rice milk
1/2 teaspoon apple cider vinegar
2/3 cup light agave nectar
1/3 cup applesauce
1 1/2 teaspoons pure vanilla extract
1 1/3 cups whole wheat pastry flour
3/4 teaspoon baking powder
1/2 teaspoon baking soda
1/4 teaspoon salt
Preheat oven to 325°. Cut 2 circles from parchment paper to fit 2 six-inch round cake pans. Lightly oil and flour the round cake pans and place parchment circles in the bottom. In a large mixing bowl, combine the rice milk and apple cider vinegar. Allow to sit for 2-3 minutes to curdle. With a stand mixer or a hand mixer, beat in agave nectar, applesauce and vanilla. Sift in the flour, baking powder, baking soda and salt and mix until smooth. Divide the batter evenly between the two pans. Bake for 25 minutes or until a toothpick inserted into the center of both cakes comes out clean. Let pans cool for 30 minutes and then carefully turn out onto a cooling rack. Once both cakes are completely cooled, stack (with a layer of frosting or organic jam between cake layers) and frost.

Frosting
(this may contain soy, depending on your margarine):
1/2 cup non-hydrogenated shortening
1/2 cup non-hydrogenated and dairy-free margarine, like Earth Balance
3 1/2 cups powdered sugar
1 1/2 teaspoons pure vanilla extract
1/4 cup rice milk
Beat the shortening and margarine together until well combined and fluffy. Add the sugar and beat for about 3 more minutes. Add the vanilla and rice milk. Beat for another 5 to 7 minutes until fluffy.

(Both recipes adapted from the book “Vegan Cupcakes Take Over the World”)