BuddyPress.org

From the codex:

Add Email Token

Hi @mohamedbakry83,

In this case you’ll need to copy the email template into a /buddypress/assets/email/single-bp-email.php file of your active theme and edit it from theme to include a new template tag.

something like:

<?php mohamedbakry83_output_avatar(); ?>

Then in a bp-custom.php file, you’ll need to include new function for this template tag:

function mohamedbakry83_output_avatar() {
  $token = '{{recipient.avatar}}';
  printf( '<img src="%s">', $token );
}

In this file, you’ll need to use & adapt the filter @shanebp pasted in his first reply making sure to check $formatted_tokens['friend-requests.url'] & $formatted_tokens['initiator.id'] are set and then set the recipient.avatar token like this :

$formatted_tokens['recipient.avatar'] = bp_core_fetch_avatar(
  array(
    'object'  => 'user',
    'item_id' => $formatted_tokens['initiator.id'],
    'html'    => false,
  )
);

This is for the friendship request email. But you should be able to do it for any email type with this example.