Preheat oven to 350F. Grease an 8 1/2 by 4 1/4-inch loaf pan.
Combine flour, baking powder and salt in a medium bowl.
Whisk together yogurt, 1 cup sugar, eggs, vanilla, ginger, orange rind and oil. Slowly stir in flour mixture. Pour batter into prepared pan and bake about 50 minutes, until a cake tester placed in the center of loaf comes out clean.
Place 1/4 cup fresh orange juice and remaining 1/4 cup sugar in a small saucepan. Heat until sugar dissolves.
When cake is done, let cool in pan 10 minutes. Place cake on a wire rack over a sheet pan. While cake is warm, poke holes in top, pour orange mixture over cake, allowing to soak in.
Combine powdered sugar and remaining 2 tablespoons orange juice, stirring until smooth. When cake is cool, drizzle glaze over top of cake.