Preheat oven to 350° Fahrenheit. Grease a loaf pan and set aside.
In a medium-sized bowl, mix flour, pecan meal, cinnamon, baking powder, baking soda, and salt.
In a larger bowl, combine the brown sugar, granulated sugar, oil, Greek yogurt, mashed banana, eggs, and vanilla extract until all ingredients are completely mixed together.
Using a spatula, slowly add the dry ingredients to the wet ingredients, gently folding to incorporate. Once all ingredients are combined, fold in the chopped pecans.
Pour batter into the loaf pan and bake for 50 minutes to 1 hour. A skewer inserted into the middle of the loaf should come out clean when the bread is done.
Let cool in pan for 15 minutes before transferring to a wire rack until completely cooled. If needed, loosen the bread from the sides of the pan using a knife with thin blade.