Step 1

Arrange racks in lower and upper thirds of oven; preheat to 350°F. Line 2 baking sheets with parchment paper. Whisk flour, ground ginger, baking soda, cinnamon, nutmeg, salt, and pepper in a medium bowl. Using an electric mixer on medium-high speed, beat brown sugar, shortening, and butter in a large bowl, scraping down sides halfway through beating, until light and fluffy, about 3 minutes. Reduce mixer speed to low. Add egg, molasses, grated ginger, and vanilla; beat just to blend. Add flour mixture; beat on low speed just to blend. Mix in crystallized ginger (dough will be very soft and sticky).

Step 2

Place raw sugar in a shallow bowl. Using a tablespoon measure, scoop out dough. Using a second spoon, scoop dough from tablespoon measure into bowl with raw sugar; turn to coat well. Roll into a ball. Transfer to prepared baking sheet. Repeat with half of remaining dough and sugar, spacing balls 1 1/2" apart.

Step 3

Bake cookies, rotating sheets halfway through, until edges are firm and centers appear cracked, 10-12 minutes. Transfer cookies to wire racks and let cool. Repeat with remaining dough and sugar, using cooled baking sheets and new parchment. DO AHEAD: Can be made 3 days ahead. Store airtight at room temperature between sheets of parchment or waxed paper.