Just add the following code in functions.php file of your theme which will add your custom added classes to images when you will insert it into post editor.
function add_image_class($html, $id, $caption, $title, $align, $url, $size, $alt="" ){
$classes = get_post_meta( $id, 'classes', true );
if ( preg_match('/<img.*? class=".*?">/', $html) ) {
$html = preg_replace('/(<img.*? class=".*?)(".*?>)/', '$1 ' . $classes . '$2', $html);
} else {
$html = preg_replace('/(<img.*?)>/', '$1 class="' . $classes . '" >', $html);
}
return $html;
}
add_filter('image_send_to_editor','add_image_class',10,8);