Accidentally put my backup items in trash

I backed up my Mac with time machine and stored it with external hard drive. My Mac got repaired and all data has been gone. Now I’m trying to restore it with the hard drive but the remaining time went to over 100 hours(350+GB) so I give up and try to copy files manually. However I accidentally put my backup items in trash, more precisely, the whole Macintosh....is there still possible to put it back? I need to save the iphoto library, thanks!