Preheat the oven to 350°F. Line a cupcake pan with paper liners.
To make the batter: In a large mixing bowl, add the grated apple, canola oil, cane sugar, light brown sugar, and eggs. Mix together with a hand mixer on medium-high speed until combined.
Next, add in the flour, cinnamon, baking powder, and sea salt in that order. Mix on low to combine the dry ingredients until there are no bits of flour.
Fill cupcake liners three-quarters full.
Bake for 20 minutes or until a toothpick inserted in the center comes out clean. Allow to cool completely in the cupcake pan.
To make the frosting: In the bowl of a stand mixer fitted with the paddle attachment, add the butter, powdered sugar, milk, and vanilla bean. Mix on low until combined, then speed mixer up to high for 1 to 2 minutes, or until light and fluffy. Scrape down the sides of the bowl as needed. Transfer to a piping bag with Ateco tip #827.
To make the topping: In a small dish, add the cane sugar and cinnamon and swirl together.
Frost each cupcake and sprinkle the top with the topping.
Store in a cake dome or in an airtight container for up to 3 days.