Sazerac Cocktail is best served in a chilled cocktail glass. Therefore, take a rock or an old-fashioned cocktail glass and chill it by filling it with ice cubes or cracked ice. Set the glass aside until you mix the other ingredients.
Note: You can place the cocktail glass in your refrigerator to chill.
Grab another cocktail mixing glass and place 2 dashes of Peychaud bitters in it. Top it with 3/4 oz of simple syrup. Now, pick a cocktail muddler and muddle both of the ingredients together until mixed well and smooth.
Add 3 oz of rye whiskey into the mixing glass and mix all of the ingredients well with a bar spoon or a stirrer.
Pour an absinthe into pre-chilled old-fashioned cocktail glass and swirl it all around the glass.
Now, pour the drink in the cocktail mixing glass and give it another brief stir.
Your Sazerac Cocktail is ready. Just garnish it with a lemon twist and serve.