gmail sync problem
Suddenly my gmail emails on my iPhone 13 Pro stopped synching with gmail on my MacBook Air. If I delete emails on my iPhone, they no longer are deleted on my laptop.
iPhone 13 Pro, iOS 16
In case if you have stopped syncing mail accounts turn them on How iCloud keeps information up to date across all your devices - Apple Support
See an article to stop using temporarily Temporarily stop using an email account in Mail on Mac - Apple Support
Another articles to remove it .
Remove email accounts in Mail on Mac
Take email accounts offline or online in Mail on Mac
Sign in with the same Apple ID & password say example1@icloud.com on your iPhone & Mac and connect both with an usb cable .Overview of syncing your Mac and your devices - Apple Support
Click on finder > general > sync
Let the bar be completely loaded .
Open your mailbox in iPhone
Click on edit option on the up-right corner
Click on “new mailbox” option on your down-right corner ,
In the new mail box , in the name section enter your iCloud id say example1@icloud.com
And set your mailbox location as per you requirement (iCloud / gmail) - prefer gmail .
Then again click on edit , you will see your apple id , under it you will find an option of “new mailbox '’on your right corner > chose the name for your folder and add the mailbox location ( iCloud id )> click on save > finally click on done .
The folder is created in iPhone , from web browser ( mac ) open www.icoud.com in mail section in the bottom left corner click on refresh , the mail folders will be visible after few moments , then open IMAP account in mac Add or remove email accounts in Mail on Mac - Apple Support under iCloud section in the bottom click on drop down arrows all mail folders will appear .
See this thread for deleting of mails from iPhone Emails not syncing on all devices - Apple Community