BuddyPress.org

<?php $localPhone = bp_get_the_site_group_name() ?>;

Remove the semi-colon from the end and that will get rid of the echo problem.

I assume you meant:

<?php $localPhone = bp_get_the_site_group_name(); ?>

The if statement should be:

<?php if ( ($localPhone="Manchester") || ($localPhone="Test Group") ) {