Syncing sent folder with Yahoo

As noted....is there any way to sync the sent folder with Yahoo mail, along with the inbox? At work I use a browser for Yahoo on my work PC; at home, I use Mail with an iMac. Inbox syncs fine, sent only shows what was sent from each computer on that computer. That causes some major problems at times....and even more confusing is that my iPhone syncs with the web server and not with the iMac sent list. Huh??

 

Really? Nobody? There is no way to sync Sent folders across Mail and the Yahoo servers?