Beat eggs and sugar at high speed with an electric mixer for 5 minutes or until foamy. Add orange rind, oil, and extracts, beating until blended.
Combine flour and baking powder; add to sugar mixture, beating well. Fold in pecans. Cover and freeze 30 minutes or until firm.
Divide dough in half; shape each portion into an 8- x 5-inch log on a lightly greased baking sheet.
Bake at 325° for 25 minutes or until firm. Cool on baking sheet 5 minutes. Remove to wire racks to cool.
Cut each log diagonally into 1/2-inch slices with a serrated knife. Place on greased baking sheets.
Bake at 325° for 15 minutes. Turn cookies over, and bake for 15 more minutes. Remove cookies to wire racks to cool.