In a small saucepan, combine 1 cup water and 1 cup granulated sugar. Stir over medium heat until the sugar dissolves.
Add 1 tablespoon of dried lavender and bring to a gentle simmer. Let steep for 5 minutes.
Remove from heat, cool to room temperature, and strain out the lavender buds. Store in the refrigerator for up to 2 weeks.
Run a lime wedge around the rim of a margarita or rocks glass.
Dip the rim in coarse salt, sugar, or a lavender-sugar mix. Set aside.
Fill a cocktail shaker with ice.
Add 2 oz silver tequila, 1 oz fresh lime juice, 1 oz lavender simple syrup, and ½ oz orange liqueur.
Shake vigorously for about 15 seconds to chill and mix the ingredients.
Fill the prepared glass with fresh ice.
Strain the margarita mixture into the glass.
Garnish with a sprig of fresh lavender and a lime wedge.