Preheat the oven to 350°F (175°C) and line a baking sheet with parchment paper. Set it aside.

In a large mixing bowl, cream together the softened butter, granulated sugar, and brown sugar until light and fluffy (about 3-5 minutes).

Add the eggs, red food coloring, and vanilla extract to the butter mixture. Mix until well combined.

In another bowl, whisk together the all-purpose flour, cocoa powder, baking soda, and salt. Gradually add this mixture into the wet mixture, mixing just until combined.

In a separate bowl, beat the softened cream cheese and powdered sugar until smooth and creamy.

Scoop a tablespoon of cookie dough and flatten it in your palm. Add a teaspoon of the cream cheese mixture in the center, then cover it with another tablespoon of dough. Roll it into a ball and place it on the baking sheet. Repeat with remaining dough.

Bake in the preheated oven for 12-15 minutes or until the edges are set but the centers are still soft. Let them cool on the sheet for a few minutes before transferring to a wire rack to cool completely.

Serve and enjoy your delicious Red Velvet Cream Cheese Stuffed Cookies!