[Plugin: Custom Post Type UI] Custom Post Types in Dashboard

Found this online today, then saw your post. Hopefully this will help! It will also show custom taxonomies if you change

$showTaxonomies = 0

to

$showTaxonomies = 1

// Add custom taxonomies and custom post types counts to dashboard
add_action( 'right_now_content_table_end', 'my_add_counts_to_dashboard' );

function my_add_counts_to_dashboard() {
    $showTaxonomies = 0;
    // Custom taxonomies counts
    if ($showTaxonomies) {
        $taxonomies = get_taxonomies( array( '_builtin' => false ), 'objects' );
        foreach ( $taxonomies as $taxonomy ) {
            $num_terms  = wp_count_terms( $taxonomy->name );
            $num = number_format_i18n( $num_terms );
            $text = _n( $taxonomy->labels->singular_name, $taxonomy->labels->name, $num_terms );
            $associated_post_type = $taxonomy->object_type;
            if ( current_user_can( 'manage_categories' ) ) {
                $num = '<a href="edit-tags.php?taxonomy=' . $taxonomy->name . '&post_type=' . $associated_post_type[0] . '">' . $num . '</a>';
                $text = '<a href="edit-tags.php?taxonomy=' . $taxonomy->name . '&post_type=' . $associated_post_type[0] . '">' . $text . '</a>';
            }
            echo '<td class="first b b-' . $taxonomy->name . 's">' . $num . '</td>';
            echo '<td class="t ' . $taxonomy->name . 's">' . $text . '</td>';
            echo '</tr><tr>';
        }
    }
    // Custom post types counts
    $post_types = get_post_types( array( '_builtin' => false ), 'objects' );
    foreach ( $post_types as $post_type ) {
        $num_posts = wp_count_posts( $post_type->name );
        $num = number_format_i18n( $num_posts->publish );
        $text = _n( $post_type->labels->singular_name, $post_type->labels->name, $num_posts->publish );
        if ( current_user_can( 'edit_posts' ) ) {
            $num = '<a href="edit.php?post_type=' . $post_type->name . '">' . $num . '</a>';
            $text = '<a href="edit.php?post_type=' . $post_type->name . '">' . $text . '</a>';
        }
        echo '<td class="first b b-' . $post_type->name . 's">' . $num . '</td>';
        echo '<td class="t ' . $post_type->name . 's">' . $text . '</td>';
        echo '</tr>';

        if ( $num_posts->pending > 0 ) {
            $num = number_format_i18n( $num_posts->pending );
            $text = _n( $post_type->labels->singular_name . ' pending', $post_type->labels->name . ' pending', $num_posts->pending );
            if ( current_user_can( 'edit_posts' ) ) {
                $num = '<a href="edit.php?post_status=pending&post_type=' . $post_type->name . '">' . $num . '</a>';
                $text = '<a href="edit.php?post_status=pending&post_type=' . $post_type->name . '">' . $text . '</a>';
            }
            echo '<td class="first b b-' . $post_type->name . 's">' . $num . '</td>';
            echo '<td class="t ' . $post_type->name . 's">' . $text . '</td>';
            echo '</tr>';
        }
    }
}

Thank you!