Well Lightroom has no Trash, what are you expecting with which version of Lightroom on what OS????
It is possible that you might not see the photo in your trash depending on setup. For example, I have a utility that monitors the trash (TrashMagic) and anything I place in the trash doesn't show up but can be recovered. Are you only seeing this with items you trash from within LR? There have been oddities with trash and LR where it will not move a photo to the trash but it pops an error (one has to fix an invisible file on Mac to stop this). Sounds like a totally different issue however. We could use more details.