{{Cite tweet}} and {{Tweet}} currently don't get archived links added to them
The URL for {Cite tweet}} can be found by using the 'user' and 'number' parameters in the format https://twitter.com/{{{user}}}/status/{{{number}}}
The URL can be found for {{Tweet}}} using the 'user' and 'ID' parameters in the format https://twitter.com/user/status/{{{ID}}} for {{Tweet}} (note that the 'user' and 'ID' parameters are not required so some uses may not use them)
Both of them have the url-status, archive-url and archive-date parameters