Using hyphens (-) to separate words in custom taxonomies and custom post types is just bad practice. You should never use any special characters, numbers or uppercase letters in taxonomy/custom post type names as they are extemely troublesome later in naming custom templates. These breaks the template hierarchy and any custom made templates will be ignored from being used. You can go and try this out for yourself. Only underscores (_) should be used.
I always try to use single words for taxonomy and post type names as they are less prone to fail in situations like these. The are also cleaner to use.
To keep the URL structure you are after, you should create a custom rewrite rule to handle that for you
EDIT
Here is the code to add a custom taxonomy and custom post type to your theme. Just add this in your functions.php. Go and play around with the code
function event_post_example() {
register_post_type( 'event_type',
array(
'labels' => array(
'name' => __('Events Posts', 'baretheme'),
'singular_name' => __('Event Post', 'baretheme'),
'all_items' => __('All Event Posts', 'baretheme'),
'add_new' => __('Add New Event Post', 'baretheme'),
'add_new_item' => __('Add New Event Type', 'baretheme'),
'edit' => __( 'Edit', 'baretheme' ),
'edit_item' => __('Edit Post Types', 'baretheme'),
'new_item' => __('New Post Type', 'baretheme'),
'view_item' => __('View Post Type', 'baretheme'),
'search_items' => __('Search Post Type', 'baretheme'),
'not_found' => __('Nothing found in the Database.', 'baretheme'),
'not_found_in_trash' => __('Nothing found in Trash', 'baretheme'),
'parent_item_colon' => ''
), /* end of arrays */
'description' => __( 'This is the example event post type', 'baretheme' ), /* Custom Type Description */
'public' => true,
'publicly_queryable' => true,
'postids_from_search' => false,
'show_ui' => true,
'query_var' => true,
'menu_position' => 9,
'menu_icon' => get_stylesheet_directory_uri() . '/library/images/custom-post-icon.png',
'rewrite' => array( 'slug' => 'event_type', 'with_front' => false ),
'has_archive' => 'event_type',
'capability_type' => 'post',
'hierarchical' => false,
'supports' => array( 'title', 'editor', 'author', 'thumbnail', 'excerpt', 'trackbacks', 'custom-fields', 'comments', 'revisions', 'sticky')
) /* end of options */
); /* end of register post type */
register_taxonomy( 'event_cat','event_type',
array(
'labels' => array(
'name' => __( 'Event Categories', 'baretheme' ),
'singular_name' => __( 'Event Category', 'baretheme' ),
'search_items' => __( 'Search Event Categories', 'baretheme' ),
'all_items' => __( 'All Event Categories', 'baretheme' ),
'parent_item' => __( 'Parent Event Category', 'baretheme' ),
'parent_item_colon' => __( 'Parent Event Category:', 'baretheme' ),
'edit_item' => __( 'Edit Event Category', 'baretheme' ),
'update_item' => __( 'Update Event Category', 'baretheme' ),
'add_new_item' => __( 'Add New Event Category', 'baretheme' ),
'new_item_name' => __( 'New Event Category Name', 'baretheme' )
),
'hierarchical' => true,
'show_admin_column' => true,
'show_ui' => true,
'query_var' => true,
'rewrite' => array( 'slug' => 'event-slug' ),
)
);
register_taxonomy_for_object_type( 'event_cat', 'event_type' );
}
add_action( 'init', 'event_post_example');