Preheat oven to 350 F. combine the flour and sugar in a large bowl,add the oil and wine, and stir until thoroughly blended and smooth.
Pinch off a piece of the dough about 1 inch in diameter. On a lightly floured surface, roll out the dough into a 4-inch rope, about 1/2-inch thick. Pinch the ends together to form a ring.
Place the ring on an ungreased baking sheet. Repeat with remaining dough, placing rings about 1 inch apart.
Bake the rings for 20 minutes, or until very lightly browned. Transfer to cooling racks. Stored in an airtight container, these cookies keep for quite a while.