The best way to restore deleted QuickTime files is by using data recovery software like Disk Drill.
Download and install Disk Drill.
Use Disk Drill to scan your system drive.
Use the search bar to filter results to show only .MOV or .M4A files.
Select the files you want to recover and click the Recover button.
Select a destination for your recovered files.
However, this is not the only way to restore deleted QuickTime files… For more methods (along with their step-by-step instructions), read the full article.