How long will it take after mailing my rejected non filers info

[xmasbaby0]

No one can answer that, unfortunately.  Mailed returns have been piling up in trailers for several months, because the IRS has been too backlogged to open its mail during the pandemic.  They are just beginning to work their way through months of backlogged mailed returns.  Expect a long wait for them to process anything you mail in.  Use a mailing service that will track it--like certified mail-- so you will know the IRS received it.