First, as always, cream the butter and the sugars.
Add in the pudding mix.
Then add in the eggs and vanilla.
Mix in flours, salt, and baking soda.
Stir in the Oreos and white chocolate chips.
Roll in to 1 inch balls and bake at 350 degrees for 8 minutes.
They will look underdone, but that's because they're white - trust me and take them out. Have a good look - are the edges just a touch brown - if so, they're done.