Check that in the layer properties for the results layer the parallax setting is 0,0 and that your results objects are centred in the layout window (the dotted line in the layout editor).
Also, rather than popping objects out from behind the background you can switch the results layer visible and invisible using the System|Layers & Layout | Set Layer Visible action.
I've used the top-down shooter template from the C2 examples to show what I mean:
https://www.dropbox.com/s/ofw4aaf6zf386 ... .capx?dl=0
If you tap the space bar it will hide the on-screen message. Notice that it remains in position regardless of where you move in the layout.
In the editor, if you click on the UI layer and view its settings, observe that the parallax is set to 0,0.
On event sheet 1, events 9,10 and 11 are being used to toggle the visibility.
Good luck with making your game!