In a small bowl, combine the dried cherries with 2 ounces of the Cognac and microwave on high for 60 seconds. Set aside.

To sugar the glass rims, pour the sugar on a small plate. Wet the rim of two highball or martini glasses with the lemon wedges. Dip the rim in the sugar. Set them aside to dry.

Combine the 3 ounces of lemon juice with the remaining 4 ounces of Cognac, the Grand Marnier, and 1 teaspoon of the marinated cherry liquid. Fill a cocktail shaker three-quarters full with ice and pour in the cocktail mixture. Shake the mixer for a full 30 seconds (it's longer than you think!) and strain into the prepared glasses either straight up or over ice. Thread 3 or 4 marinated cherries on small skewers and serve each drink ice cold with a skewer of cherries.