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Put rye whisky in a shaker and add sugar and let dissolve.
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Add ice and shake for 30 seconds to ensure everything is mixed well and chilled.
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Add one bar spoon of absinthe to a chilled tumbler glass and rotate glass to coat inside of glass with absinthe. Discard any remaining absinthe.
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Pour chilled rye/sugar mix into absinthe rinsed glass. Add both bitters.
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Peel a piece of lemon peel and use it to rim the glass. Twist the lemon peel and drop into the glass.
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Enjoy!