Use a handheld electric mixture to mix together the sourdough starter, butter, and sugars until combined.
Add the egg and vanilla. Mix again until combined.
Add the flour, baking soda, and salt. Mix until combined.
Fold in the chocolate, crackers, and marshmallows, reserving some chocolate for the tops of the cookie dough balls.
Chill the dough for 30+ minutes.
Preheat oven to 350F.
Line a baking sheet with parchment paper.
Use a cookie scooper or two tablespoons to drop cookie dough balls onto the baking sheet.
Top each cookie dough ball with a couple chocolate chips.
Keep the remaining cookie dough in the fridge while this batch of cookies bake.
Bake for 10 minutes.
Allow the cookies to cool for 10 minutes on the baking sheet before transferring to cooling rack.
Continue to work in batches until all the cookie dough is used up.
