Preheat oven to 350. Spray baking sheets with non-stick cooking spray, or line with a silpat and set aside.
In a large bowl, cream the margarine and sugar together until light and fluffy.
Whip in vanilla, oil, lemon zest, and juice.
Stir in all dry ingredients slowly until just combined, excluding the powdered sugar.
Pour powdered sugar onto a shallow bowl. Roll a heaping teaspoon of dough into a ball and roll in powdered sugar.
Place on baking sheet and bake for 9-11 minutes or until cookies and cracked on top.
Remove from oven and cool cookies about 3 minutes before transferring to cooling rack.