Fill a cocktail shaker with ice. Add the dark rum, coconut rum, pineapple juice, orange juice, apricot brandy, and lime juice to the shaker.
Shake vigorously for about 15 seconds, until the outside of the shaker is well chilled. Strain the mixture into a highball or hurricane glass filled with fresh ice.
Add a couple of dashes of Angostura bitters on top. Garnish with a fresh pineapple wedge and an orange slice.