Preheat your oven to 375 degrees and line a baking sheet with parchment paper.
In a large bowl, mix together cake mix, 1/2 cup butter, and 2 eggs.
Divide dough evenly between two bowls.
Add a few drops of red food coloring to one bowl, mixing well. Continue adding food coloring until you get your desired shade of red.
Repeat this process for the blue in the other bowl.
Drop cookie dough by rounded spoonfuls onto the parchment paper.
Bake 10-11 minutes.
Meanwhile, in a large bowl, mix 1/2 cup butter, cream cheese, and vanilla until fluffy. Mix in powdered sugar.
Once cookies are cooked and cooled, pipe icing onto one cookie and top with another cookie. Be sure to flip the cookies over so you have a flat surface on both sides of the icing.