Preheat oven to 350.
In a large mixing bowl, mix together sugar, milk, coconut oil, lavender syrup and apple cider vinegar. Mix until just fully combined.
In a medium mixing bowl, combine flour, baking powder, baking soda and salt.
Pour dry ingredients into wet ingredients and mix until just combined.
Lightly grease your doughnut pan
In a piping bag (or a giant ziploc bag sealed with a small slit cut in one bottom corner) pipe the dough evenly into the six doughnut forms.
Bake for 11-13 minutes.
While doughnuts are baking, combine all glaze ingredients into a shallow bowl.
Let doughnuts cool completely before dipping the tops into the glaze.