Hey Pawan,

I am really sorry for the delay of this reply,

Try take a look of my attached screenshot below and see is it you would like display 0 count on icon above.

If yes, you can download my attached file and replace into
JoomlaFolder\components\com_easydiscuss\themes\simplistic\toolbar.notification.php
JoomlaFolder\components\com_easydiscuss\themes\simplistic\toolbar.conversation.php

If no, I am really sorry but we are actually quite tied up with our own internal development and we wouldn't be able to assist you with these customizations right now If this is a priority, try request on our sales section at https://crm.stackideas.com and our sales department would get back to you with a proper quote.