Yes, you can easily cite the papers you discover in Meta using your reference manager.
For Mendeley, automatically synchronize your Meta library. Go to My Profile, then select Reference Management. Click Add Manager, then follow the instructions.
For other citation tools, such as Zotero or EndNote, you can export references from your library as an .ris file.
If there is a reference manager you would like us to add to Meta, please let us know.