Preheat oven to 350°F (175°C). Grease and flour a 9x13 inch baking pan.
For the crust: In a medium bowl, combine flour and sugar. Cut in the cold butter using a pastry blender or your fingertips until the mixture resembles coarse crumbs.
Press the crust mixture evenly into the bottom of the prepared baking pan.
Bake the crust for 15-18 minutes, or until lightly golden brown.
For the filling: In a separate bowl, whisk together eggs, brown sugar, corn syrup, melted butter, and vanilla extract until well combined.
Stir in the chopped pecans.
Pour the pecan filling evenly over the partially baked crust.
Bake for another 25-30 minutes, or until the filling is set and the edges are lightly golden.
Let the bars cool completely in the pan before cutting into squares.
Notes
Store in an airtight container at room temperature for up to 3 days.