When I copy and paste a model 1 onto a new drawing sheet it flips without asking so that I get a mirror image. If you spot it, then the only way to correct it is to flip it back to the correct orientation.
The axis orientation is probably off.
Try right clicking on one of the axis directions to reset it. Otherwise, look into the components edit mode to see what the orientation is set to… you can reassign it if you want.
SU honors the original settings and reorients the model if brought into a different environment.