Thank you!
I just wrote some php to create a widget and a shortcode to show the additives. Maybe you want to use it your way. It’s just a little code snippet that you can change the way you want it:

<?php
// ---------------------------------------------------------- //
// ---------------- widget ---------------------------------- //
// ---------------------------------------------------------- //
// register Foo_Widget widget
function register_wpPIZZA_additives() {
register_widget( 'wpPIZZA_additives' );
}
add_action( 'widgets_init', 'register_wpPIZZA_additives' );
/**
* Adds Foo_Widget widget.
*/
class wpPIZZA_additives extends WP_Widget {
/**
* Register widget with WordPress.
*/
function __construct() {
parent::__construct(
'wpPIZZA_additives', // Base ID
__( 'Additives', 'text_domain' ), // Name
array( 'description' => __( 'Shows the additives registered in wpPIZZA plugIn', 'text_domain' ), ) // Args
);
}
/**
* Front-end display of widget.
*
* @see WP_Widget::widget()
*
* @param array $args     Widget arguments.
* @param array $instance Saved values from database.
*/
public function widget( $args, $instance ) {
echo $args['before_widget'];
if ( ! empty( $instance['title'] ) ) {
echo $args['before_title'] . apply_filters( 'widget_title', $instance['title'] ). $args['after_title'];
}
// get additives from wpPIZZA database
$options = get_option('wppizza');
$additives = $options['additives'];
foreach($additives as $additive) {
// show additives 1 per line: 'number: name'
echo implode(': ', $additive) . '<br />';
}
echo $args['after_widget'];
}
/**
* Back-end widget form.
*
* @see WP_Widget::form()
*
* @param array $instance Previously saved values from database.
*/
public function form( $instance ) {
$title = ! empty( $instance['title'] ) ? $instance['title'] : __( 'New title', 'text_domain' );
?>
<p>
<label for="<?php echo $this->get_field_id( 'title' ); ?>"><?php _e( 'Title:' ); ?></label> 
<input class="widefat" id="<?php echo $this->get_field_id( 'title' ); ?>" name="<?php echo $this->get_field_name( 'title' ); ?>" type="text" value="<?php echo esc_attr( $title ); ?>">
</p>
<?php 
}
/**
* Sanitize widget form values as they are saved.
*
* @see WP_Widget::update()
*
* @param array $new_instance Values just sent to be saved.
* @param array $old_instance Previously saved values from database.
*
* @return array Updated safe values to be saved.
*/
public function update( $new_instance, $old_instance ) {
$instance = array();
$instance['title'] = ( ! empty( $new_instance['title'] ) ) ? strip_tags( $new_instance['title'] ) : '';
return $instance;
}
} // class Foo_Widget
// ---------------------------------------------------------- //
// ---------------- shortcode ------------------------------- //
// ---------------------------------------------------------- //
// [wpPIZZA_additives title="additives"]
function shortcode_wpPIZZA_additives( $atts ) {
$a = shortcode_atts( array(
'title' => 'additives',
), $atts );
$myOutput = '';
// get additives from wpPIZZA database
$options = get_option('wppizza');
$additives = $options['additives'];
foreach($additives as $additive) {
// show additives 1 per line: 'number: name'
$myOutput .= implode(': ', $additive) . '<br />';
}
if($myOutput != '')
{
$myOutput = '<h3>' . $a['title'] . '</h3>' . $myOutput;
}
return $myOutput;
}
add_shortcode( 'wpPIZZA_additives', 'shortcode_wpPIZZA_additives' );
?>

greetings
Benedikt