Hey Andrey,

I am really sorry for the delay of this reply as it is a weekend for us here.

Perhaps you can take a look of these few files is how it achieve show the online status on user profile page.

JoomlaFolder\administrator\components\com_easysocial\includes\user\user.php (function isOnline())
JoomlaFolder\administrator\components\com_easysocial\models\users.php (function isOnline())

JoomlaFolder\components\com_easysocial\themes\wireframe\profile\avatar.php (User profile page avatar)
JoomaFolder\components\com_easysocial\themes\wireframe\utilities\user.online.state.php (online status)

Please tell me what has to be done in the module, the status is displayed in it.

Hey Andrey,

I am sorry but customizations are not supported by our support. If you require customization works, please consider hiring a freelancer or contact us for a quote at https://crm.stackideas.com

As much as we want to help, we can't be providing customizations for every customer that requests for it. We won't have time building what we love to do best.