Preheat oven to 350°F (175°C) and line two baking sheets with parchment paper.
In a medium bowl, whisk together the flour, baking powder, baking soda, and salt.
2 1/4 cups All-purpose flour, 1 teaspoon Baking Powder, 1/2 teaspoon Baking Soda, 1/2 teaspoon Salt
In a large bowl, use a whisk to mix together 1 cup of sugar (reserve the remaining 1/3 cup for rolling), light brown sugar, melted butter, Greek yogurt, and oil. Add the egg and vanilla, mixing until well combined.
1 1/3 cups Sugar, divided, 1/2 cup Light Brown Sugar, 1/4 cup Greek Yogurt, 6 tablespoons Butter, 1/3 cup Oil, 1 Egg, 2 teaspoons Vanilla Extract
Add the dry ingredients into the wet mixture and mix until incorporated, being careful not to overmix.
Using a medium-sized cookie scoop, form dough balls. Roll each ball in the reserved sugar and place on the prepared baking sheets. Bake for 11-13 minutes or until lightly golden. Allow the cookies to cool completely on the baking sheets.
Prepare the Frosting: In the bowl of a stand mixer with a paddle attachment, beat the butter until fluffy. Gradually add the powdered sugar, then mix in the salt, vanilla extract, and milk. Beat at medium-high speed until the frosting is light and fluffy.
1 cup Butter, 4 cups Powdered Sugar, 1/2 teaspoon Salt, 1 teaspoon Vanilla Extract, 2 tablespoons Milk
Assemble the Sandwiches: Pipe (or spread with an offset spatula) a generous amount of frosting onto the flat side of one cookie. Top with another cookie to form a sandwich. Roll the edges in rainbow sprinkles for a colorful and festive finish.
Rainbow Sprinkles