You mean auto sync the Program to the SFDC Campaign Sync?
If you do not do this, then you can use Smart Campaigns with flow steps. Well documented.
If you do do this, then yes, Marketo will create the matching Member Status in SFDC....BUT you do need smart campaigns to assign the Status when the Open or Click occurs.
Yes, I mean the auto-sync that's set at the program level. So if I set it up like this, Sync an SFDC Campaign with a Program - Marketo Docs - Product Docs , it will push over "Sent"? What about webinar invitees?