I have two Gmail accounts, one is personal, the other is business. I have enabled forwarding on the business one, so I get those mails to my personal email account. Sometimes I delete some e-mails from my personal account which have been forwarded from the business account, but they are not deleted from the business account. I want the actions I take in my personal mail to be synced to my business account. Is there a way to do this?
You can't sync between accounts. Sync works between an e-mail client on your computer or mobile device and the account on the server (using IMAP). But forwarding or POP fetching can not sync between server accounts.