If using a stand mixer, fit with paddle attachment. Cream together shortening and butter until completely mixed.
Add in the sugar and beat until light and fluffy.
Add in eggs, one at a time, and beat until combined. Add in vanilla and beat until combined.
With the mixer on slow speed, add in the baking powder and flour. Mix until just combined.
Cover and chill dough for at least an hour.
Turn out dough on a floured surface and roll dough 1/8" thick. Cut cookies with desired cookie cutters. Place cookies on parchment lined cookie sheet and bake at 350 degrees for about 8 minutes or until bottom is brown and the brown is creeping up the edges. The tops of the cookies should not be shiny at all.
Allow to cool completely. Frost and decorate as desired.