01 - Preheat the oven to 350°F. Line two baking sheets with parchment paper.
02 - In a medium bowl, whisk together flour, cocoa powder, baking soda, and salt until well combined.
03 - In a large bowl, beat softened butter and granulated sugar together until light and fluffy, approximately 2 minutes.
04 - Add egg yolk, milk, vanilla extract, and red food coloring to the butter mixture. Beat until fully incorporated.
05 - Gradually mix in the dry ingredients on low speed until just combined. Avoid overmixing to maintain tender texture.
06 - In a small bowl, whisk together softened cream cheese, powdered sugar, and vanilla extract until smooth and creamy. Set aside.
07 - Roll dough into 1-inch balls, approximately 24 total. Place on prepared baking sheets, spacing 2 inches apart to allow for spreading.
08 - Using your thumb or the back of a teaspoon, gently press an indentation into the center of each dough ball, being careful not to press through to the bottom.
09 - Spoon about 1/2 teaspoon of the cream cheese filling into each indentation, mounding slightly above the cookie surface.
10 - Bake for 11 to 13 minutes, or until edges are set and centers appear slightly soft. Avoid overbaking to maintain moist texture.
11 - Let cookies cool on the baking sheet for 5 minutes to set, then transfer to a wire rack to cool completely.