The sweet vermouth adds a smooth and slightly sweet element, while the dashes of Angostura bitters contribute complexity and balance to the cocktail. Stirring the ingredients with ice helps to achieve the proper dilution and temperature. The garnish of a maraschino cherry and an orange twist adds a touch of visual appeal and complements the flavors of the drink. Sip on a Manhattan cocktail and savor its timeless elegance and smooth character.