Beat sugar and shortening at medium speed of electric mixer until well blended. Add eggs, syrup and vanilla; beat well. Gradually add combined dry ingredients at low speed. Mix until well blended.
Refrigerate dough 1 hour.
Roll out dough between two sheets of lightly floured wax paper. Cut out with floured cutter.
Bake on ungreased cookie sheets at 375 degrees F (190 degrees C) for 5-9 minutes, depending on size and thickness of cookies. Do not overbake. Cool 2 minutes, then remove from cookie sheets to cool.