Prepare the margarita glass by rubbing a slice of orange around the rim. Dip the moistened rim in a shallow plate or bowl of turbinado sugar. Fill the glass with ice and set side.
In a cocktail shaker combine lots of ice with the tequila, blood orange juice, orange liqueur, and margarita mix. Shake very well.
Pour the margarita through a strainer into the prepared glass. Garnish with an orange and lime wedge.