Preheat oven to 375°. In a large bowl, beat 2/3 cup sugar and sunflower oil until blended. Beat in egg, then molasses. In another bowl, whisk flour, baking soda, cinnamon, salt, ginger and cloves; gradually beat into sugar mixture.
Combine confectioners' sugar and remaining sugar. Shape dough into 1-in. balls; roll in sugar mixture. Place 1 in. apart on greased baking sheets. Bake until edges are firm, 10-12 minutes. Cool on pans 5 minutes. Remove to wire racks to cool. Store in an airtight container.