Preheat oven to 175 degrees.
Lightly grease a cake pan. There are some great doggy themed ones available online.
In a bowl, combine the flour with water, until it is nice and smooth.
Add the yogurt and mix well.
Add the remaining ingredients, making sure everything is well combined.
Pour the batter into the cake pan.
Bake for approximately 25 minutes, or until the top of the cake is dry and springs back when you touch it with a finger.
Cool completely before spreading the mixed icing mixture and serving.