Try this, should work:
function add_my_post_types_to_query( $query ) {
if ( ( is_home() || is_front_page() ) && $query->is_main_query() ) {
$query->set( 'post_type', array( 'post', 'post_review_key' ) );
}
}
add_action( 'pre_get_posts', 'add_my_post_types_to_query' );