Owen's Baked Mug Root Beer Donuts

So making baked donuts is similar to making muffins, you just get to use a fun pan :).  Anyway, these donuts Owen came up with were a hit with the boys, and they worked well.  I wanted my glaze to harden more, so I used the idea from Peabody for her glaze.  This will give you a nice frosting rather than the syrup we got :).  The calories are 311 per donut, and the boys gave them a perfect 10, and I gave them an 8.  We didn't have any root beer flavoring, this would be better with a root beer flavoring, but if you just like a sweet, semi-root beer donut, use vanilla extract like we did :).  Anyway, Owen loves root beer, so we made these donuts for him.  Here's what to do:

2 cans root beer, cooked to concentrate it  (it takes at least 20 minutes to cook it down to 1 1/3 cup)

2 1/4 c flour
1 T baking powder
1/2 t salt
1 c sugar
1 T vanilla (or vanilla and root beer extracts)
1 c concentrated root beer
2 T butter melted
1 egg
1 egg yolk
1/2 c yogurt

1/3 c concentrated root beer
8 T butter
2 1/2 c powdered sugar

Preheat the oven to 350.  Grease a donut pan or line a muffin tin.
In one bowl, stir together the flour, baking powder, salt and sugar.
In another bowl, mix together the vanilla (root beer extract), concentrated root beer, melted butter, egg yolk, egg, and yogurt.  Add the wet ingredients to the dry ingredients, stir until just coming together, then place in the greased donut pan (or place in paper muffin cups) and cook for 10-12 minutes for the donuts.  Remove from the donut pan, let cool a few minutes, the dip in the glaze.

Cook the concentrated root beer and butter until the butter is melted, then stir in the powdered sugar.  Let cool a little then dip the donuts in it and let them cool.