This is not true. In the end it is up to individual states to figure out how their electors are chosen and which are sent. The electors are not even bound to vote for a particular candidate.Each state has its own laws on how electors are chosen. If they did not legally meet those laws then it is a fact that the President was illegitimately chosen.
The office of President is a federal office. The President was legitimately chosen based on the US Constitution.
Do you believe the Constitution needs to be amended to allow for greater federal oversight?