When using the PTV Axylog app and a bordereau was completed via the app ( see green symbols dots)
then actually, the bordereau should disappear by itself when the last stop is confirmed (all stops are fulfilled). 

If not: 
You can swipe down the screen in the Axylog app - view to force an update.  
This can trigger an update and the next bordereau or the empty dashboard will be shown.

If you activate a new bordereau in the portal, the old one always disappears immediately.

Related Products: PTV Axylog