Single bay My Cloud units don’t have a “recycle bin” option/feature.
Best you can do is run a file recovery program on the hard drive to see if the Share or it’s files can be recovered. Note that the more you use the hard drive prior to attempted file recovery the more difficult it will be to recover files. The My Cloud hard drive if formatted for Linux so you may need to use a Linux file recovery program. Use the forum search feature (if you haven’t already), magnifying glass icon upper right, and search for recovering files. There are a number of past discussions on attempting to recover files.
Another option is to pull the hard drive from it’s enclosure and connect it to a Linux computer and attempt file recovery that way. Or spend several thousand dollars to have a professional recovery service attempt drive recovery.