1. Beat first 7 ingredients at medium speed with an electric mixer 2 to 3 minutes or until creamy.
2. Add flour; beat until blended. Divide dough into 4 portions, and shape each portion into an 8- x 2-inch log. Wrap in plastic wrap, and chill 1 hour.
3. Preheat oven to 350°. Cut logs into 1/4-inch-thick slices; place 1 inch apart on 2 parchment paper-lined baking sheets. Bake 10 to 14 minutes or until edges are lightly browned, switching pans halfway through. Cool on baking sheets 5 minutes. Gently toss together warm cookies and powdered sugar to coat. Transfer to wire racks, and cool.
*Sorghum or honey may be substituted.