Combine spices to make a rub.
Season all the turkey cuts except for sausage with the rub.
BBQ over medium heat until cooked through, no longer pink, and the meat registers 165°F (74°C) on a meat thermometer inserted in the thickest part of the meat. (Heat setting and cook time will depend on the power of your BBQ and the size of each cut.)
While cooking, combine sauce ingredients in a hand blender or mini chopper and blend to combine.
Baste all turkey cuts generously in the last 10 - 15 minutes (depending on cut) of cooking time.
Approximate cooking times: o wings and drummettes: 8 - 10 mins per sideo sausages: 8 - 10 mins per sideo drumsticks and thighs: 12 - 18 mins per sideo bone-in breast: 20 - 30 mins per side
Set aside to rest, 15 mins.
Baste again with sauce before serving.