If you don't have a backup of your catalog file before you deleted these photos from Lightroom, then your edits are most likely gone, and you will have to re-edit them. The exception is if you saved the metadata to the photo file (or sidecar file), then your final edited position could be retrieved.
I hope from this point forward, you will not only make regular backups of your photos, but you will also make regular backups of your catalog file.
