Brew espresso into a heat-proof mug. Stir in the mocha sauce and peppermint syrup until fully combined.
Steam milk to about 150-155 degrees F using an espresso machine, handheld frother, countertop frother, microwave, or stovetop.
Pour steamed milk over the espresso mixture and gently stir.
Top drink with whipped cream and chocolate curls. Add crushed candy canes if desired. Serve immediately.