Preheat your oven to 350 degrees. Take a muffin tin and line it with cupcake liners or grease well.
Take your stand mixer fitted with the paddle attachment or a large bowl and an electric mixer. Mix your wet ingredients; apple sauce, brown sugar, sugar, vanilla extract, and oil. Mix on medium for a few minutes.
Get a medium bowl and combine your dry ingredients; flour, baking powder, baking soda, salt, cinnamon, and pumpkin pie spice. Mix until combined but don't over-mix.
Take a large cookie scoop or an ice cream scoop and scoop even amounts of cupcake batter into the prepared muffin tin. Bake in the preheated oven for 16-20 minutes, checking at the 16-minute mark for a toothpick to come out clean.
Let sit in the tin for 5 minutes before transferring to a cooling rack. Let cool completely before frosting.
Clean out your mixing bowl and add your frosting ingredients; mix slowly then to medium speed for about 5 minutes until fluffy. Frost the cooled cupcakes as desired.