In another bowl combine wet ingredients (yogurt, 1 cup sugar - oil) and whisk. Stir in flour mixture.
Pour batter into prepared pan and bake for 50-55 minutes or until cake tests done with a toothpick or other tester. When cake is done let cool in pan 10 minutes and then place on a wire rack to finish cooling.
In an saucepan add coffee and remaining 1/4 cup sugar. Heat until sugar dissolves.
When cake is still warm, poke holes in top of cake and pour coffee mixture over top. Let it soak in and let cake cool.
To prepare icing: combine powdered sugar, remaining 2 tablespoons of coffee and a pinch of cardamom, stirring until smooth, adding more sugar if necessary to reach spreading consistency. When cake is cool drizzle icing over cake.