Unroll.Me can move emails from your inbox to the Unroll.Me folder only.
When you elect to unsubscribe from a sender, Unroll.Me will move those future emails from your inbox to the Unroll.Me/Unsubscribed folder of your mailbox. If you see emails you'd like to keep moving to Unroll.Me/Unsubscribed folder, then you should review and revise your "Unsubscribe" list here.
Additionally, if you add a sender to your Rollup list within your Unroll.Me settings, then emails that arrive in your inbox from those "Rollup" senders will be filtered out of your inbox and moved to the "Unroll.Me" folder in your email account. If you see emails you'd like to keep moving out of your inbox and into your Unroll.Me folder, then you should review and revise your "Rollup" list here.