How to redirect to edit.php page after saving the post,product and showing the message “post saved “

You could use filter post_updated_messages :

//Message handling when updating posts
function set_messages($messages) {    
    global $post, $post_ID;
    $post_type = get_post_type( $post_ID );

    $obj = get_post_type_object($post_type);
    $singular = $obj->labels->singular_name;

    $messages[$post_type] = array(
        0 => '', // Unused.
        1 => sprintf( __($singular.' uppdaterad. <a href="https://wordpress.stackexchange.com/questions/161464/%s">Visa '.strtolower($singular).'</a>'), esc_url( get_permalink($post_ID) ) ),
        2 => __('Custom field uppdaterad.'),
        3 => __('Custom field borttagen.'),
        4 => __($singular.' uppdaterad.'),
        5 => isset($_GET['revision']) ? sprintf( __($singular.' återställd till revision från %s'), wp_post_revision_title( (int) $_GET['revision'], false ) ) : false,
        6 => sprintf( __($singular.' publicerad. <a href="https://wordpress.stackexchange.com/questions/161464/%s">Visa '.strtolower($singular).'</a>'), esc_url( get_permalink($post_ID) ) ),
        7 => __('Sida sparad.'),
        8 => sprintf( __($singular.' skickad. <a target="_blank" href="https://wordpress.stackexchange.com/questions/161464/%s">Förhandsgranska '.strtolower($singular).'</a>'), esc_url( add_query_arg( 'preview', 'true', get_permalink($post_ID) ) ) ),
        9 => sprintf( __($singular.' schemalagd för: <strong>%1$s</strong>. <a target="_blank" href="%2$s">Förhandsgranska '.strtolower($singular).'</a>'), date_i18n( __( 'M j, Y @ G:i' ), strtotime( $post->post_date ) ), esc_url( get_permalink($post_ID) ) ),
        10 => sprintf( __($singular.' utkast uppdaterad. <a target="_blank" href="https://wordpress.stackexchange.com/questions/161464/%s">Förhandsgranska '.strtolower($singular).'</a>'), esc_url( add_query_arg( 'preview', 'true', get_permalink($post_ID) ) ) ),
    );

    //Special conditions, other messages based on which post-type when updating
    if ($obj->name == 'product') {    
        //Do something
    }

    return $messages;
}
//Set messages array for posts. Special cases are handled based on post-type
add_filter('post_updated_messages', 'set_messages');