I have been having a problem with missing links in items created for libraries that contain pictures and text. When one person creates a new item in a library (the library and links are on a shared server) and another person opens the library and uses that item on the document the link is always missing and it has to be relinked manually. (which kind of defeats the purpose of having the items saved in a library.) Any idea how to get the images to keep the links? The images are not being moved from the folder where the library item was created from.
InDesign libraries do not contain linked graphics. You still need to re-link the graphics.
The only other option would be to embed your graphics in the InDesign file (generally not a good idea).
Migrate your library into CC libraries and share them. This would create embedded PDFs, but you can later easy save them if needed.