Get custom posts using the WP REST API - wordpress

Question

I'm trying to get custom post types, but I can not seem to find any solution. The WP REST API documentation only returns blog posts.
Note: I'm using the Dooplay theme
The code below is in the file tipo.php
directory: inc > includes > series
if( ! function_exists( 'doo_series' ) ) {
function doo_series() {
$labels = array(
'name' => _x('TV Shows', 'Post Type General Name','mtms'),
'singular_name' => _x('TV Show', 'Post Type Singular Name','mtms'),
'menu_name' => __d('TV Shows %%PENDING_COUNT_TV%%'),
'name_admin_bar' => __d('TV Shows'),
'all_items' => __d('TV Shows'),
);
$rewrite = array(
'slug' => get_option('dt_tvshows_slug','tvshows'),
'with_front' => true,
'pages' => true,
'feeds' => true,
);
$args = array(
'label' => __d('TV Show'),
'description' => __d('TV series manage'),
'labels' => $labels,
'supports' => array('title', 'editor','comments','thumbnail','author'),
'taxonomies' => array('genres'),
'hierarchical' => false,
'public' => true,
'show_ui' => true,
'show_in_menu' => true,
'menu_position' => 5,
'menu_icon' => 'dashicons-welcome-view-site',
'show_in_admin_bar' => true,
'show_in_nav_menus' => false,
'can_export' => true,
'has_archive' => true,
'exclude_from_search' => false,
'publicly_queryable' => true,
'rewrite' => $rewrite,
'capability_type' => 'post',
);
register_post_type('tvshows', $args );
}
add_action('init', 'doo_series', 0 );
get_template_part('inc/includes/series/metabox');
}

Answer 1

Compare with
register_post_type( 'post', array(
'labels' => array(
'name_admin_bar' => _x( 'Post', 'add new from admin bar' ),
),
'public' => true,
'_builtin' => true, /* internal use only. don't use this when registering your own post type. */
'_edit_link' => 'post.php?post=%d', /* internal use only. don't use this when registering your own post type. */
'capability_type' => 'post',
'map_meta_cap' => true,
'menu_position' => 5,
'hierarchical' => false,
'rewrite' => false,
'query_var' => false,
'delete_with_user' => true,
'supports' => array( 'title', 'editor', 'author', 'thumbnail', 'excerpt', 'trackbacks', 'custom-fields', 'comments', 'revisions', 'post-formats' ),
'show_in_rest' => true,
'rest_base' => 'posts',
'rest_controller_class' => 'WP_REST_Posts_Controller',
) );
which registers the built in post type post. Observe the last three fields. These fields must be set to make the post type accessible via REST.
ADDENDUM
Actually only 'show_in_rest' is required as WordPress has default values for the other two. Also, if a developer wrote his own WP_REST_Controller for the custom post type instead of using the builtin WP_REST_Posts_Controller then even this is not required as his own WP_REST_Controller can call the register_rest_route() functions by some other means.