anjin_nav What happens is when I lose, the object, I'll typically pick a bright star such as Schedar, Deneb, or Capella to slew to.
Did you check if the star, that you have manually slewed to, is on a different side of the Meridian as the original object that you were tracking?
Both of your mounts are "German" (Fraunhofer) mounts -- a manual slew will not obey Meridian Flips. Only a GOTO will perform a Meridian Flip.
If you ever manually slewed the mount past the Meridian without a Meridian Flip, your mount's coordinate system is now wrong for the actual pier side the telecope is located.
In this wrong pier-side state, if the plate solve detects a small error, it will move the mount in the wrong (opposite) direction by the same small amount, that makes the next plate solve have a larger error, and thus moving even further away after a sync, etc, etc, until the mount flies off eventually to Neverland.
The moral of the story is be careful whenever you slew, since it can place your mount on the wrong pier side. Use GOTO commands instead of slew commands. After homing a mount, try to never slew; and if you do, make darn sure you don't slew across the Meridian (and remember there are two Meridians, one the goes between the pole and zenith, and the other, for circumpolar stars, is between the pole an Nadir).
There are mounts where you can tell the hand controller to switch to a different pier side. Programs other than ASIAIR also allow you to do that, but ASIAIR is too simple minded to provide that function. If you don't have that function, or don't use it, just ask the mount to home, and the mount will set itself to the correct pier side again.
Chen