A Microsoft file hosting and synchronization service.
Hello
When you said Home Tab, do you mean when you first log into www.onedrive.com?
If so, that page serves as history/record list of recent files. It is not the place for "actual files". Just like in Windows File Explorer, your recent files list can still list the files you recently viewed, even if the actual file is already deleted.
Unfortunately there's currently no settings available to clear this list. As you continue to open new files, old ones will cycle out of the list.
If this is a feature important to you, consider voicing your feedback: https://feedbackportal.microsoft.com/feedback