How to properly sync Gmail and Zoho so all changes are reflected in both clients?

How to properly sync Gmail and Zoho so all changes are reflected in both clients?

I've had no problem receiving forwarded emails from my Zoho domain in my Gmail client, and I can reply to messages in Gmail with my Zoho domain name. However, when I delete or move an email to a folder,in either client, the changes aren't reflected in the other.

For example: I delete a message in Gmail, but it's not delted in Zoho. (or) I send an email to a folder in Gmail but it isn't reflected in Zoho.

I've made sure to check each folder and option in both clients to no avail. Please help!!!