Mix 1 cup of melted ice cream, eggs, egg yolks, oil, and cake mix until smooth. Fold in the 8 crushed cookies.
Spray a 9-inch square cake pan with oil and pour in the batter. Place in the preheated oven for 45-50 minutes or until the center is set.
In a standing mixer, beat the butter until light and fluffy, about 5 minutes. Add in the vanilla and powdered sugar and whip an additional minute. Add in the remaining crushed cookies and mix until well combined.
Smooth the frosting over the cooled cake and enjoy!