gmailgmail-filters
In Gmail I can select an email and "Move to ASD" but I want to be able to do this automatically for new emails (that match certain criteria). I would want it to be "automatically marked as read" as well (since like doing filing).
Has anyone tried it before?
Gmail filters apply to sent mail by default. They do, however, not apply to drafts.
So, Jacob's answer describes the default process for making filters and it will indeed also work for mails sent by yourself.
All sent items from within Google Apps are signed like this:
example@example.com (Google Drive)
If you search for those items in the search field like this:
you can either:
Best Answer
Create a filter (see here if you don't know how) that applies the label ASD and select 'Skip the Inbox'