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