Sometimes, after opening your project the graphics added from Premiere Composer might disappear or get cut off. This is a known bug in Premiere Pro, which hopefully gets fixed soon. We've sent how to reproduce the issue to Adobe and it's being tracked under bug number DVAGE-5131.
To fix this you need to update Premiere Pro to the latest version. This update comes with a new action you can use to fix your clips.
Select the clips that are acting weird and go to Graphics-> Reset Duration. Like on the video below.
If the action does not work, please try to copy the clip to a new sequence and try again.
Have you experienced this issue? Please let us know. We're trying to find out when exactly this happens, so we could contact Premiere developers.
How to avoid this issue?
From our investigation it seems this might happen when you have multiple projects open at the same time. When working with Premiere Composer, make sure to only have 1 project open at a time.