Preheat the oven to 350°F (175°C).
In a large mixing bowl, cream together the softened butter, granulated sugar, and brown sugar until light and fluffy.
Add the eggs one at a time, mixing well after each addition, followed by the vanilla extract.
In a separate bowl, whisk together the flour, baking soda, and salt.
Gradually add the dry ingredients to the butter and sugar mixture, mixing until just combined.
In a small bowl, combine the softened cream cheese with a tablespoon of sugar until smooth.
Gently fold in the chopped Reese’s peanut butter cups into the cookie dough.
Scoop out tablespoon-sized portions of dough onto a baking sheet lined with parchment paper.
Using your thumb or the back of a spoon, create a small indentation in the center of each cookie.
Fill each indentation with the cream cheese mixture.
Bake in the preheated oven for 12-15 minutes or until the edges are lightly golden.
Let the cookies cool on the baking sheet for 5 minutes before transferring them to a wire rack.