Custom Loop Pagination

cutom_loop_shortcode.php

<?php
/*----------------------------------ONLY WORK ON HOMEPAGE----------------------------------*/
function loop_custom_function( $atts ) {
    ob_start();
    $paged = isset( $_GET['paged'] ) ? (int) $_GET['paged'] : 1;
    $opts = shortcode_atts( array(
        'type' => '',
        'page_link' => '',
    ), $atts );
    $output = '';
    $args = array(
        'post_type' => $opts['type'],
        'posts_per_page' => '6',
        'order' => 'DESC',
    );
    $query = new WP_Query( $args );
    $count = 0;
    /*---------------------Loop-------------------*/
    while ( $query->have_posts() ) : $query->the_post();
        $id = get_the_ID();
        $title = get_the_title();
        $thumbnail_id = get_post_thumbnail_id( $id );
        $image = wp_get_attachment_image( $thumbnail_id, array(495, 400) );
        $alt = get_post_meta($thumbnail_id, '_wp_attachment_image_alt', true);
        $excerpt = get_the_excerpt();
        $link = get_permalink ();
        $content = get_the_content ();
    ?>
        <div>HTML Content</div>
    <?php
    $count++;
    endwhile;
    echo '<div class="clearfix"></div>';
    /*-------------------Pagination------------------*/
    $pag_args = array(
    'format'  => ''.$opts["page_link"].'/?fwp_paged=%#%',
    'current' => $paged,
    'total'   => $query->max_num_pages,
    );
    $pager = paginate_links( $pag_args );
    echo '<div class="shortcode_pager">'.$pager.'</div>';
	wp_reset_postdata();
    return ob_get_clean();
}

Function.php

<?php
include('cutom_loop_shortcode.php');
add_shortcode('loop_custom_shortcode', 'loop_custom_function');