Right now you have to complete your program in the modality in which you started it. That means, if you started a Path inside ADURO mobile app then you must complete it there as well. If you started it on the desktop website you must complete it there.
We have heard from you that you would like greater flexibility and can assure you that we are working hard to make that happen. Good things come to those who wait 
**If you are a Castlight member then your activity between web and mobile will stay in sync. You may work in whichever medium you have access to.This feature will come to our other partners soon.