Preheat oven to 350 degrees.
Combine the yeast and warm water. Set aside for about 5 minutes.
Combine the dry and liquid ingredients separately (except for the pecans). Add the yeast mixture to the liquid ingredients and mix in.
Add the liquid ingredients to the dry ingredients and mix. Lastly, add in the chopped pecans.
Spray the doughnut pan with coconut oil. Place the dough in the pan and bake for about 20 minutes (or until lightly browned).
Remove from heat and let cool.
In a blender or food processor, blend the pecans until they are finely ground.
Add in the yogurt and keep blending until a very smooth icing texture has been created.
Mix in the maple syrup and vanilla.
Top the cooled doughnuts with icing and add extra chopped pecans (optional)!