Preheat oven to 350°.
Lightly spoon flours into dry measuring cups; level with a knife. Combine flours, oats, baking soda, and salt in a medium bowl. Place sugar, butter, and sour cream in a large bowl; beat with a mixer at high speed until smooth. Add vanilla and egg whites; beat well. Gradually add flour mixture, stirring until blended. Fold in cranberries and chocolate chips.
Drop dough by rounded teaspoonfuls 2 inches apart onto 2 baking sheets lined with parchment paper. Bake at 350° for 15 minutes or until edges of cookies are browned. Cool on pan 5 minutes. Remove cookies from pan; cool on wire racks.