Preheat oven to 375 degrees F.In a mixing bowl, cream butter, shortening and sugar. Add egg and vanilla extract; mix well.
In separate bowl, combine flour and salt. Add to creamed mixture. Stir in cherries and pecans, if using.
On floured surface, roll dough to 1/4-inch thickness. Cut with 2 1/4-inch round cookie cutter. Place on parchment paper-lined cookie sheets. Bake at 375 degrees for 8-10 minutes. Sprinkle with powdered sugar, if desired. Cool on wire cooling racks.