Preheat oven to 375 degrees and spray two cookie sheets with cooking spray.
In standing mixer, mix butter, brown and white sugar on high for 2-3 minutes until creamy and slightly lighter in color. Scrape down the sides of the bowl to make sure it is thoroughly mixed. Add eggs, vanilla extract, and red food coloring and mix on medium speed until it is well mixed and the food coloring is evenly distributed. Make sure to scrape down the sides of the bowl.
In a separate bowl, whisk together the flour, cocoa powder, baking soda, salt, and cornstarch. Then add to the standing mixer and mix on lowest setting until there are no pockets of flour. Don't overmix.
Roll dough into balls and place on cookie sheets at least 2 inches apart. Bake for about 9-10 minutes, but make sure not to overbake. Once the edges start to crack, they should be done. Leave on the tray until cooled completely.
For the frosting, whip together the butter, cream cheese, vanilla, and whipping cream in a standing mixer on high. Once well mixed, gradually add in the powdered sugar. Gradually increase the speed, and allow to mix on high for 3-4 minutes. Either spread on cookies with a knife, or pipe frosting after the cookies are completely cooled. Enjoy!