Step 1: In a large bowl, combine the all-purpose flour, granulated sugar, softened butter, and 1/2 cup chopped pecans. Mix until the ingredients are well combined and form a cohesive dough.
Step 2: On a lightly floured surface, roll out the dough to about 1/4-inch thickness. Using a cookie cutter, cut the dough into circles (or your desired shape) and carefully transfer them to a baking sheet lined with parchment paper.
Step 3: Bake in a preheated oven at 350°F (175°C) for 10-12 minutes, or until the edges are lightly golden. Remove from oven and let cool slightly on the baking sheet.
Step 4: While the cookies are baking, prepare the filling. In a small saucepan, combine the brown sugar and corn syrup. Cook over medium heat, stirring constantly, until the sugar is completely dissolved and the mixture begins to simmer. Remove from heat.
Step 5: Stir in the 1/4 cup chopped pecans for the filling. Spoon a small amount of the warm pecan filling onto the center of each baked cookie.
Step 6: Garnish the cookies with the remaining 1/4 cup chopped pecans and granola. If desired, sprinkle with fresh pecans and a dusting of powdered sugar before serving. Enjoy your delicious Pecan Pie Cookies!