How to show custom post type on homepage and in categories

Add to your child themes functions file:

function wpsites_add_cpt_home($query) {
if ( !is_admin() && $query->is_main_query() && is_home() ) {
  $query->set('post_type', array( 'post', 'accommodation' ) );
    }
  }

add_action('pre_get_posts','wpsites_add_cpt_home');

You could also add

category__in => array()

Source pre_get_posts