Preheat your oven to 375°. Take a very soft bit of butter and grease up the donut pan. (you can also use oil)
Crush your tea leaves into a fine texture or powder. A muddler would work great. (I used the back of my whisk in a bowl.) Combine all of your dry ingredients. Flour, baking soda, baking powder, salt and tea leaves.
In a separate bowl combine both sugars and butter until well combined. Add in the eggs, sour cream, vanilla, infused milk and oil.
Put the wet ingredients into the bowl with dry ingredients and fold in. The batter will be thick and a bit sticky, thats okay.
Add the batter into a ziplock bag squeezing it down to the tip of the bag. Put the tip of the bag to the inside of the donut indent of the pan. Cut off the tip to be slightly smaller than the pan allows for. Hold the top of the ziplock bag up and squeeze down on the batter with the other hand. Move the batter into the shape of the donut as you squeeze. Filling the donut ring about half way to the top. Add more for a full top donut.
Put donuts into the oven and bake for about 10 minutes or until they feel spongey. You can also use a toothpick in the middle of the dough. If it pulls out clean they are done.
While the donuts are baking mix together confectioners sugar and milk. You can change the ratio of milk to sugar depending on what type of icing texture you want. More milk = runny sticky glaze. Less milk = thicker glaze.
Wait for donuts to cool a few minutes then dip them into your glaze. Transfer them to a wire rack to cool completely. Enjoy for tea time!