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Generally this has to do with your channel progression statuses in Marketo, and the boolean field Responded/not responded has to do with whether or not that particular progression status is listed as 'success' or not.
You will never actually be able to see the SFDC campaign statuses in Marketo. The functionality provided is the ability to sync programs and SFDC campaigns and to keep the statuses in sync, so essentially whatever program status the lead has, that will be the status they have in the SFDC campaign.
Have a look at tis article, it might provide some insight: https://community.marketo.com/MarketoArticle?id=kA050000000LJQpCAO