You can use "Toolkit for Twitter by PlugEx" to un-favorite (un-like) multiple tweets displayed on your twitter feed.
To do so, you must follow simple steps that are given below.
We recommend you to use this tool on Twitter Profile Likes Page, however you can use this tool on any page that displays unlike buttons.
If you have followed above step, then a frame tool will be added on page you are currently on.
After above frame tool is added on your page, you must follow these steps to unlike all visible tweets:
This will start the process of clicking all unlike buttons, to stop this process, click on “Close” button.