Preheat your oven to 350°F (175°C). Line a baking sheet with parchment paper.
In a bowl, whisk together gluten-free flour, cocoa powder, baking powder, and salt.
In a separate bowl, beat aquafaba until frothy. Add coconut sugar, applesauce, and coconut yogurt; mix until combined.
Gradually fold the dry ingredients into the wet mixture until a smooth batter forms.
Pour the batter onto the prepared baking sheet, spreading it evenly. Bake for 12-15 minutes, or until the cake springs back when touched.
While the cake is still warm, invert it onto a clean kitchen towel dusted with cocoa powder. Gently roll the cake with the towel and let it cool completely.