Thanks dpowney! I went with that solution in case the plugin gets uninstalled.
Nevermind, I got it. 🙂
if ( get_post_meta( get_the_ID(), Multi_Rating::RATING_RESULTS_POST_META_KEY, true )['count'] > 0 ) {
echo do_shortcode('[mr_rating_result]');
} else {
echo do_shortcode('[mr_rating_form]');
}