This is in the same ballpark as Death & Co's version, which is our favourite:

Absinthe rinsed Old-fashioned glass
1 1/2 ounces Rye
1/2 ounce Cognac
1 teaspoon Demerara Gum Syrup
4 dashes Peychaud's bitters
1 dash Angostura bitters
Express a lemon twist and discard