Prepare Pimentos: Spread the rinsed and drained pimentos on paper towels and pat dry. Let them air dry for 10-15 minutes to prevent excess moisture.
Grate Cheese and Butter: In a food processor, grate the cheese and cold butter together for a smooth dough texture.
Mix Dough: Switch to the metal blade in the processor. Add flour, Worcestershire sauce, garlic powder, smoked and sweet paprika, cayenne, salt, and black pepper. Process until the mixture begins to look moist and grainy.
Add Pecans and Pimentos: Add chopped pecans and process until the dough pulls away from the sides and forms a ball. Add the pimentos and pulse until they’re just incorporated.
Shape Dough Logs: Place the dough on waxed paper and knead briefly to ensure even distribution of pimento pieces. Divide the dough in half, rolling each half into a solid log on the waxed paper. Twist the paper ends to secure.
Chill: Refrigerate the logs for at least an hour to firm up. Logs can also be frozen for up to 3 months for make-ahead convenience.
Bake: Preheat oven to 350°F (175°C). Line two baking sheets with parchment paper.
Slice and Arrange: Slice each log into 1/4-inch wafers and arrange them on the prepared baking sheets with a bit of space to allow for spreading.
Bake and Cool: Bake for 10-12 minutes, or until edges are golden and the tops are firm. Let cool for a few minutes on the baking sheet before transferring to a wire rack.