Beat eggs in mixing bowl with a hand mixer. Add sugar, butter, and shortening. When mixed well, add instant pudding. Add vanilla flavoring.
In a separate bowl, mix all dry ingredients. Gradually add dry mixture to the liquid mixture.
Add white chocolate chips and strawberry pieces. Mix with a spatula into the cookie dough.
Using a scoop, spoon onto a baking stone or cookie sheet.
Bake for 10-12 minutes in 350° oven. When cookies are removed from the oven they should just barely be finished baking, since the pudding will continue to set as the cookies cool. Let sit for 2 minutes and then transfer to newspaper to cool.
Notes
Don't use cooling racks. Use old newspapers to set the cookies on when you take the cookies off the pan.