Submit a list of URLs to the WayBack Machine (https://web.archive.org/) to be indexed.
Archive.org Wayback Machine API doco
Dump the URLs of any pages you want to index into a .txt file, one per line.
https://some-site.com/some/path/,
https://some-site.com/another/path/,
Ensure the file uses LF for line endings, not CRLF!
Download this repo and, from the same directory, just run:
bash archive.sh myUrlsList.txt