If desired, rim the serving glasses with lime juice and dip them into cinnamon sugar to coat the rim. Set aside.
In a cocktail shaker, combine the tequila, orange liqueur, lime juice, pumpkin puree, simple syrup, ground cinnamon, nutmeg, and ginger.
Fill the shaker with ice, covering the ingredients, and shake vigorously for about 15 seconds until well combined and chilled.
Using a fine mesh strainer, pour the mixture into the prepared glasses filled with ice.
Garnish each drink with a lime wedge on the rim or a sprinkle of additional cinnamon if desired.
Serve immediately and enjoy your festive pumpkin margarita!