Just a quick post from what I've tried a few weeks ago. I saw this recipe in Fine Cooking, but instead of regular yogurt cake I added green tea powder and marbled the appearance. I didn't make a new ganache since I had some leftover. Overall, it was an okay cake, the texture was not as I expected; it was a bit dense. It sure looks pretty on photos though.
The recipe can be found here. To get the marbled green tea appearance, divide 1/3 of the batter and add the green tea powder into it. Pour the white batter into pan, drop the green tea batter into it, and swirl the batter with a butter knife. This cake is best eaten after it is baked.