Preheat your oven to 350°F.

Add the butter to a skillet set over medium heat. Cook until the butter begins to brown, about 3-4 minutes. Remove from the heat and transfer to a heatproof bowl. Let cool for 5 minutes.

In a large bowl, whisk together the browned butter, granulated sugar, and light brown sugar.

Add in egg yolk, vanilla extract, and pumpkin puree.

Add in all-purpose flour, pumpkin spice, baking soda, and salt until mostly combined.

Fold in chocolate chips and graham crackers.

Using a large cookie scoop out 8 equally sized cookie dough balls, flatten out each ball of dough and place a marshmallow in the center. Gently wrap the dough around the marshmallow ensuring there are no holes in the dough. Place seam side up onto the baking sheet.

Bake for 10-12 minutes.

Transfer cookies to a wire rack to cool and enjoy warm.