Do you have "hide notification details" checked in moto display settings? Uncheck it.
Nope. I've checked/unchecked every thing that would seem to give what I want - unless I missed something.
I just sent myself a text. the phone pings and shows the messenger icon. then the screen goes blank. I move to it with my hand and it reappears, the icon. I wait a few seconds it disappears When I light it up again, the notice is gone. I open the phone and there is nothing in the status bar. Had I been out of the room, I never would have gotten the message.