The Wayback Machine is a digital web page archive of the World Wide Web on the Internet from The Internet Archive and launched in October 2001. It was set up by Brewster Kahle and Bruce Gilliat. Currently it has archived more than 273 billion webpages from over 361 million websites, taking up 15 petabytes of storage and it has never published an inventory of the websites it archives or the algorithms it uses to determine what to capture and when.
But you can also add a web page or save the web page in the wayback machine. This feature was added in October 2013.
To add your website, go to Wayback Machine Homepage and bottom right section of the web page, you will find the “save page now” section.