Preheat oven to 350°F. Line baking sheet with parchment paper.
In the bowl of a stand mixer fitted with a paddle attachment, cream butter and sugars together until smooth.
Add egg and vanilla and beat until combined.
Add flours, cocoa powder, espresso powder, and baking soda. Mix on low speed until combined.
Fold in chocolate chips.
Scoop approximately 3 tablespoon of dough and form into a ball. Flatten dough and place one marshmallow in the center. Form dough around the marshmallow until completely covered. Roll in crushed graham cracker crumbs. Place dough on cookie sheet.
Bake for 15 minutes. Allow to cool slightly before transferring to a cooling rack. These cookies will be very delicate so give them a little extra time before transferring.
Once cookies are almost fully cooled, place a Hershey square on top.