Notifications not staying on screen Im trying to setup notifications for a colleague whos got an Android phone (sorry dont know the OS off the top of my head). 

The notifications im trying to set up are for the Trello.com app (but i presume the process would be the same for all notifications)

At the moment if they get a message on the app a notification pops up on the Android home screen, but soon disappears. It does not add a little icon next to the main App icon to indicate that there has been a notification / message. The notification also doesn't sit on their lock screen. 

Is there a way i can change this so that they will get a notification alert sitting over the app icon and the notification will sit on their lock screen.
Sounds like toast message notification
A toast provides simple feedback about an operation in a small popup. 

Toasts automatically disappear after a timeout set by the app developers. So you can not control the behavior of toast messages.