Start off by preheating your oven to 350 degrees F.
Grease a 9x13 baking pan. Add flour as well, and make sure that the entire pan is covered by a thin layer.
Whisk together the oil, brown sugar, eggs, banana, vanilla extract and water until combined.
Sift together the flour, baking powder, baking soda, salt and cinnamon then whisk it gently into the wet ingredients.
Pour into 9x13 baking pan and bake for 35-40 minutes or until the cake springs back when touched.
Once cooled add your cream cheese and yogurt to a stand mixer and cream well, then add in the powdered sugar and vanilla and beat until fluffy.
Spread evenly over the cake.