Once you select share, the link stored on sports-tracker server is becoming visible and that can be saved. In the explorer tab (the location/gps icon), you can see your previous saved Route from point 1, from there you can export it using the 'Share' button, as a GPX file.Press on the activity->(three dots)->Save RouteA new screen will open to save the new route, where you can rename it.
To be able download the activity from your phone, you must save your activity/move as a new route.Sports-tracker's API is what is actually used and where the activities are stored server side.