The next steps after your VO has received your app depends largely on your VO. They will check your criminal, go over your relationship proofs, etc. If they don't require any documents, the next thing your would hear from them is the request for PR fee if you haven't paid it already and the request for passport (if they don't request an interview). The length of time this takes is dependent again on which VO your application was sent to. I would suggest checking the thread for your specific VO.
Any updates on Ecas would be request for documents or decision made (I think so, anyway). If I'm incorrect or I've missed a step, could someone else please correct me?
Best wishes for a speedy process!!!