Samsung Galaxy S5 — Email app imap's account sub-folders syncronizing automatically with a notification ?

Dear Experts

I have a number of sub-folders set up on my work email that is hosted by gmail (i.e. similar to this : zillah@fourm.com.ir not zillah@gmail.com ) with rules/filters setup via gmail web interface (i.e. rules not setup via my outlook or Thundebird laptop or computer ) moving certain emails into these sub-olders automatically.

When I access a laptop or a computer no issue with automatically synchronization and notification

I used nine app , outlook app, blue mail (support says they are not supporting it) , currently I am using K9 mail on my Galaxy S5 I can see those sub-folders.

But synchronize won't happen automatically unless I press on the a sub-folder ? On inbox synchronize automatically and with notification

How do I set it up so that I get a notification when a new email arrives into it ?

I have configured below but still no joy

xxxx://imgur.com/a/Mcc3Y,,,,,,,,,,,,,,,,,,,,,change xxxx

What could be other apps that help to synchronize those sup-folders ???

Thanks

— modified on Nov 27, 2016, 1:55:35 AM