You can use a URL in your e-ink reader's browser to get your books or feeds wirelessly from Calibre. I have it set as my home page in my browser settings.. Eg: http://192.168.1.122:8090/browse
Note that the numbers here are just an example! You have to check for your own IP address and Port and ensure the Calibre server is on. Calibre default port is 8080.
I also suggest you set up the feeds in their own library. You can't sync them easily but you could load them from Calibre using the browser wirelessly on your home network.