Preheat oven to 300°F. Grease two cookie sheets or line them with parchment paper; set aside.
Blend the butter, brown or maple sugar and vanilla extract with a stand mixer or a hand mixer until combined. In a small bowl, mix together oat flour and almond meal/flour. Add the flour mixture to the butter mixture and mix until the dough sticks together.
Form the dough into 1-1/2 inch balls. Place them on the prepared cookie sheets, spacing 1 - 2 inches apart and bake for 30-35 minutes.
Coat the cookies in the cinnamon/sugar mixture while they are still warm. Allow cookies to cool completely before enjoying.