Preheat your oven to 350°F (175°C) and grease an 8x8-inch baking dish.
In a large saucepan, melt the butter over medium-high heat. Swirl the pan until the butter darkens to an amber color, then remove from heat.
Stir in the brown sugar until fully combined.
Add the eggs and vanilla extract, mixing until smooth.
Gradually add the flour, baking powder, and salt, stirring until just combined.
Fold in the shredded sweetened coconut.
Spread the batter evenly in the prepared baking dish.
Bake for 40-45 minutes, covering with foil for the last 10 minutes to prevent over-browning.
Allow the bars to cool completely in the pan before slicing.