Add a new Tab to BuddyPress Profile Page | http://www.ibenic.com/add-new-tab-buddypress-profile-page/

adding_buddypress_tab.php

<?php

function ibenic_buddypress_tab() {
  global $bp;

  bp_core_new_nav_item( array( 
        'name' => __( 'My recent Posts', 'ibenic' ), 
        'slug' => 'recent-posts', 
        'position' => 100,
        'screen_function' => 'ibenic_budypress_recent_posts',
        'show_for_displayed_user' => true,
        'item_css_id' => 'ibenic_budypress_recent_posts'
  ) );
  
}

add_action( 'bp_setup_nav', 'ibenic_buddypress_tab', 1000 );

buddypress_function.php

<?php

bp_core_new_nav_item(
  array(
      'name' => __('Messages', 'buddypress'),
      'slug' => $bp->messages->slug,
      'position' => 50,
      'show_for_displayed_user' => false,
      'screen_function' => 'messages_screen_inbox',
      'default_subnav_slug' => 'inbox',
      'item_css_id' => $bp->messages->id
    )
);

tab_content.php

<?php

function ibenic_budypress_recent_posts () {
    add_action( 'bp_template_title', 'ibenic_buddypress_recent_posts_title' );
    add_action( 'bp_template_content', 'ibenic_buddypress_recent_posts_content' );
    bp_core_load_template( apply_filters( 'bp_core_template_plugin', 'members/single/plugins' ) );
}

tab_recent_posts.php

<?php

function ibenic_buddypress_recent_posts_content() {
  
  $profileUserID = bp_displayed_user_id();
  
  if( $profileUserID > 0 ) {
    $posts = get_posts( array(
        'author' => $profileUserID,
        'posts_per_page' => 5,
      ));
    if( is_array( $posts ) && ! empty( $posts ) ) {
      
      echo '<ul>';
      
      foreach( $posts as $post ){
        setup_postdata( $post );
        ?>
        <li>
		      <a href="<?php the_permalink(); ?>"><?php the_title(); ?></a>
	      </li>
        <?php
      }
      
      echo '</ul>';
      
    }
  }
}

tab_title.php

<?php

function ibenic_buddypress_recent_posts_title() {
  _e( 'My Recent Posts', 'ibenic' );
}