Preheat oven to 350 degrees Fahrenheit and grease an 8-inch circular baking pan.
In a large bowl, whisk together the flour, baking powder, and salt.
Add 1 cup of Greek yogurt to the dry ingredients and stir until a shaggy dough forms.
Transfer dough to a lightly floured surface and knead for 2-3 minutes until smooth and elastic.
Roll the dough into a rectangle approximately 12x8 inches and 0.25 inches thick.
Brush the surface with melted coconut oil, then sprinkle evenly with coconut sugar and cinnamon.
Roll the dough tightly from the long edge into a log and slice into 8 even rounds.
Arrange the rolls in the prepared pan and bake for 20 minutes until the edges are golden.
In a small bowl, whisk the icing ingredients (yogurt, maple syrup, vanilla) until smooth.
Spread the icing over the rolls while they are still warm and serve immediately.