I'm not in the US, but if it's anywhere similar to the situation I live in, media outlets will either:
1. Make a small apology for not sharing the truth that's not going to be very visible on their website.
2. Just ignore the facts. Their work is done, they're moving on to different stories and pretty much forgetting this one.
Now, if 1st case happens, and it happens very rarely, you can bet that the apology is not going to be read by as large amount of people as the original story was. Therefore, a lie will become a "fact" in the eyes of regular people.
Example: the most popular newspapers in one European country next to mine shared screenshots of a very popular porn actress's video, but claimed that it were porn videos of the (female) president of the country next to it.
Of course, this was a blatant lie, the head of that news outlet made a public apology (over Twitter for sure, not sure if he did it over his news outlet), but if you ask Regular Joe, that story still remains true, because the apology made nowhere near the impact as the original story did (as you can imagine).