cSurvey try to move the drawing but TopoDroid can not put in the exported file all informations required to do this with the same logic as in a cSurvey generated file (of course, at the first opening).
So, try using 'warping mode', in import form, setting it to 'Basic translation'.
This will disable the standard cSurvey logic but force using a simple translation logic to move drawing.
If, even with this, the drawing is not in the correct place, may be something in your survey I don't have considered so far. Try to post an example so I can test it.