01 - Preheat oven to 350°F. Line two baking sheets with parchment paper.
02 - Whisk together flour, cocoa powder, baking soda, and salt in a medium bowl.
03 - Beat softened butter and granulated sugar in a large bowl until light and fluffy, approximately 2 minutes.
04 - Mix in egg yolk, milk, vanilla extract, and red food coloring until thoroughly combined.
05 - Gradually blend dry ingredients into wet mixture until just combined, being careful not to overmix.
06 - Whisk cream cheese, powdered sugar, and vanilla extract in a small bowl until smooth and creamy. Set aside.
07 - Roll dough into 1-inch balls, yielding approximately 24 cookies. Arrange on prepared baking sheets with 2 inches of space between each.
08 - Press your thumb or the back of a teaspoon gently into the center of each dough ball to form a well.
09 - Spoon approximately 1/2 teaspoon of cream cheese filling into each indentation.
10 - Bake for 11 to 13 minutes until edges are set and centers are slightly firm.
11 - Let cookies rest on baking sheet for 5 minutes, then transfer to wire rack to cool completely.