If you are going to used harvest data (Internet Archive or other harvest sites like NARA or the Library Congress) you should include that information in your citation.
Publication or Website
MLA provides this example:
They provided the following example: McDonald, R. C. “Basic Canary Care.” _Robirda Online_. 12 Sept. 2004. 18 Dec. 2006 [http://www.robirda.com/cancare.html]. _Internet Archive_. [ http://web.archive.org/web/20041009202820/http://www.robirda.com/cancare.html].
Federal Data
If you are going to cite government data from an archive or mirror site you need to include them in your citation as well.
United States Department of Justice. Office of Justice Programs. Bureau of Justice Statistics. Census of Jails, 2019. Inter-university Consortium for Political and Social Research [distributor], 2022-03-30. https://doi.org/10.3886/ICPSR38323.v1