The current implementation of Auto Shot Tracking on Golfshot requires the player to wear the Apple Watch on their leading wrist (The front wrist of your swing). Please ensure that you are not wearing the Apple Watch on your trailing wrist. If you are wearing your watch on the incorrect wrist or your settings aren't correct you will receive an Orientation Not Supported message on the AST screen on your watch.
Since the feature relies on knowing the correct orientation of the watch sensors, you should ensure that your Watch orientation settings match the way you are wearing it. You can view / edit this in the Apple Watch app settings -> General -> Watch Orientation. Make sure you have your leading wrist selected (and you are wearing the watch on your leading wrist) and select whichever side you like to wear the digital crown.
In the Golfshot settings > Apple Watch > Input the way you play golf, as in your dominant hand. (If you play left-handed, select "Left Handed" and your right hand will be the leading wrist with the watch on it).
An example of a golfer's settings whose leading wrist is Right and who wears their Apple Watch on their Left wrist with the Digital Crown on the Right Side:
Apple Watch Settings:
Golfshot Settings: