Make the brown butter: In a medium saucepan, melt the butter over medium heat, swirling occasionally. Once the butter begins to foam, continue cooking for another 3-5 minutes, until it turns a golden brown color and gives off a nutty aroma. Remove from heat and let it cool for a few minutes.

1. Prepare the crust: In a large bowl, combine the brown butter, brown sugar, vanilla extract, salt, and flour. Stir until the mixture comes together and forms a dough. Press the dough evenly into the bottom of a greased 9×13-inch baking dish to form the crust layer.
2. Make the pecan filling: In a separate bowl, whisk together the eggs, milk, and additional brown sugar. Stir in the pecan halves. Pour this mixture over the prepared crust in the baking dish, spreading it evenly.
3. Bake: Preheat the oven to 350°F (175°C). Bake the bars for 25-30 minutes or until the filling is set and golden brown on top.
4. Cool and serve: Allow the bars to cool completely before cutting them into squares. Serve and enjoy!