Combine Bourbon, Lemon Juice, Simple Syrup, and Egg White in a cocktail shaker. Using the optional egg white will add more froth to the drink but will make floating the wine at the end more difficult, so considering omitting the egg white if you're new to floats.
Shake well WITHOUT ice. This is called dry shaking and helps get everything frothy.
Add ice to the cocktail shaker and shake again until cold.
Strain into a Rocks glass.
Carefully pour the Red Wine over the back of a bar spoon so it floats on top of the drink. Don't mix the Red Wine with the drink, it needs to float on top so that there are two layers: cocktail and red wine. This takes some practice but it's worth it for both taste and appearance.
Enjoy your cocktail!