read more link to post carousel

Easy way to accomplish this by leveraging the filters/hooks provided by the plugin. Have the below code snippet in your (child) theme functions.php –

add_filter('lae_posts_carousel_entry_excerpt', 'mytheme_modify_posts_carousel_entry_excerpt', 10, 3);

function mytheme_modify_posts_carousel_entry_excerpt($excerpt, $post_id, $settings) {

    $read_more_text = __('Read More', 'livemesh-el-addons');

    $excerpt .= '<div class="lae-read-more">';

    $excerpt .= '<a class="lae-button" href="' . get_the_permalink($post_id) . '">' . $read_more_text . '</a>';

    $excerpt .= '</div>';

    return $excerpt;

}