Preheat oven to 350°. Line 2 baking sheets with parchment paper.
In the work bowl of a food processor, pulse together flours and pecans until pecans are finely chopped and resemble coarse crumbs.
In a large bowl, beat together butter and sugar with a mixer at medium speed until smooth. Beat in vanilla extract. Gradually beat in flour mixture until fully combined.
Using a 1-tablespoon levered scoop, drop mounds of dough, 1½ inches apart, onto prepared baking sheets. Using the back of a 1-teaspoon round measuring spoon, gently press a well into the center of each cookie, pinching together any cracks. Spoon approximately ½ teaspoon fig preserves into the well of each cookie.
Bake cookies until golden brown, 12 to 15 minutes. Let cool for 5 minutes before transferring cookies to a wire rack to let cool completely. Store in an airtight container with layers separated by wax paper, and serve within 3 days.
Notes
*We used King Arthur’s Gluten-Free Measure for Measure Flour. **This measurement was updated from previously stating 1 cup unsalted butter.
Recipe by TeaTime Magazine at https://teatimemagazine.com/pecan-fig-thumbprint-cookies/