Looking at the filter you posted above
I also changed the variable names to better reflect what is getting passed to your function.
add_filter(
'acf/fields/relationship/result/key=field_565de210b1c8c',
'my_relationship_result', 10, 4);
function my_relationship_result($title, $post_object, $field, $post_id) {
$lname = get_field('last_name', $post_id);
$fname = get_field('first_name', $$post_id);
// instead of adding, replace it
$result = $lname.', '.$fname;
return $result;
}