Image Carousel shortcode does not support filtering by media taxonomies out of the box. For example, the following shortcode won’t work:

[su_image_carousel source="taxonomy: media_category / 1, 2, 3"]

Although, the support can be enabled with the following snippet, just add it to the end of the functions.php file of the active theme:

add_filter( 'su/get_gallery_slides_query', function( $query, $source, $args ) {

	// Replace 'media_category' with your taxonomy name
	if ( 'media_category' === $source['tax'] ) {
		$query['post_mime_type'] = 'image/jpeg,image/gif,image/jpg,image/png';
		$query['post_type']      = 'attachment';
		$query['post_status']    = 'inherit';
	}

	return $query;

}, 10, 3 );

Replace media_category with your taxonomy name.