Preheat the oven to 350°F (175°C). Grease a 9x13 inch baking pan.

In a mixing bowl, cream together the softened butter and granulated sugar until light and fluffy.

Add the egg, red food coloring, and vanilla extract, mixing well.

In another bowl, whisk together the flour, cocoa powder, baking soda, and salt.

Gradually add the dry ingredients to the wet ingredients, mixing until just combined.

Spread the cookie dough evenly in the prepared baking pan.

Bake for 20-25 minutes, or until a toothpick inserted in the center comes out clean.

While the cookie bars are baking, prepare the cream cheese frosting.

In a mixing bowl, beat together the softened cream cheese and butter until smooth.

Gradually add the powdered sugar and vanilla extract, mixing until creamy.

Once the cookie bars are completely cooled, spread the cream cheese frosting evenly over the top.

Cut the cookie bars into squares and serve.

Enjoy your delicious red velvet cookie bars!