You are encouraged to use the plugin-upgrade-function that WordPress is offering.
However. if you would you are preferring a manual upgrade, follow these steps:
Download the most recent zip-file of this plugin and extract the contents.
On your server, where your WordPress-installation is located, delete the contents of this directory: `/wp-content/plugins/feed-reading-blogroll/*`
Upload all the new plugin-files to this directory (`/wp-content/plugins/feed-reading-blogroll/*`).
Login to your admin-dashboard and go to the plugin's options-page.
Click on the JavaScript-tab and push the rebuild-button to generate a new JavaScript-file on the server.
That's it