In a large bowl, cream sugars, butter, and shortening. Add peanut butter, egg, and vanilla. Mix thoroughly.

Combine flour, baking soda, baking powder, and salt in a medium bowl. Gradually add to peanut butter mixture until completely combined.

Cover bowl and chill for 1 hour.

Preheat oven to 375 degrees F. Lightly grease cookie sheet(s). Shape dough into 1-inch balls. Place on cookie sheet 3 inches apart. Flatten balls in a criss-cross pattern with a fork dipped in flour. A flour-dipped cookie press or the flat bottom of a small glass may also be used.