Are you asking how to get these archived, owned caches into your database?
Go to the caches web page and click on the "GPX" button on the page, then import that file into GSAK. You should now have the cache in your DB (but not yet the favourite points). Now select the cache and choose "Geocaching.com access->refresh" then select "current cache".
You should now have the archived cache in your DB, including favourite points.
Repeat this for each archived cache you own.
Go to the caches web page and click on the "GPX" button on the page, then import that file into GSAK. You should now have the cache in your DB (but not yet the favourite points). Now select the cache and choose "Geocaching.com access->refresh" then select "current cache".
You should now have the archived cache in your DB, including favourite points.
Repeat this for each archived cache you own.