Beat together shortening, butter, and sugars. Mix in eggs and vanilla extract. Mix together flour, baking soda, and salt. Mix in to butter/sugar mixture. Stir in chocolate chips.
For even better flavor, refrigerate dough for several hours or up to 2 days.
Drop onto an ungreased cookie sheet and bake in a preheated 375 degrees oven for 10 to 12 minutes. Do not overbake.