Using evolution to auto-forward emails

I collect emails from multiple accounts on my workstation, run them through a set of filters, and what comes out the other end of the filter chain is auto-forwarded to another email account, which is only accessed by my phone. In this way, I get an appropriately filtered subset of my incoming email no matter where in the world I am, while all my email is retained on my workstation. I like this setup.
I am migrating away from kmail because it is simply too unreliable these days, and often does not honor settings I configure (such as don't pop up a requester when you fail to connect to an email server...just try again later. It insists on popping that requester and, if I happen to be on another continent and can't click it away...too bad for me).
So I have been trying to get evolution to work.
Now, evolution DOES work. I can filter my emails, and I can tell it to forward those emails that get through the filter chain, and it does. Sort of.
What it actually does is queue those emails in the outgoing queue, and leaves them queued until I click the "Send/Receive" button. Any email that I write, or respond to, goes out right away. But the ones that the filter chain says are to be forwarded just sit in the queue until I click that button.
Someplace there simply has to be a setting that makes it auto-send forwarded emails. But I can't find it, and the gnome documentation for evolution seems to be no help. I have googled for it and come up blank.
Does anyone here know how to get evolution to automatically send those emails?
I am migrating away from kmail because it is simply too unreliable these days, and often does not honor settings I configure (such as don't pop up a requester when you fail to connect to an email server...just try again later. It insists on popping that requester and, if I happen to be on another continent and can't click it away...too bad for me).
So I have been trying to get evolution to work.
Now, evolution DOES work. I can filter my emails, and I can tell it to forward those emails that get through the filter chain, and it does. Sort of.
What it actually does is queue those emails in the outgoing queue, and leaves them queued until I click the "Send/Receive" button. Any email that I write, or respond to, goes out right away. But the ones that the filter chain says are to be forwarded just sit in the queue until I click that button.
Someplace there simply has to be a setting that makes it auto-send forwarded emails. But I can't find it, and the gnome documentation for evolution seems to be no help. I have googled for it and come up blank.
Does anyone here know how to get evolution to automatically send those emails?