Preheat oven to 350° F. Prepare two baking sheets by lining with parchment paper or silicone mat (optional).
In a mixing bowl combine melted butter, sugar, and brown sugar. Add eggs and vanilla until combined.
Add gluten free flour, gum (if not in flour blend), salt, baking soda, and chocolate instant pudding. Mix until combined.
Gently stir in white chocolate chips and Oreos until dispersed throughout.
Place a golf ball size piece of dough on baking sheet, leaving 1 ½ - 2 inches in between each cookie.
Bake for 9-10 minutes. Allow to cool slightly before transferring to a cooling rack. Store any leftovers in an airtight container.