Change permalink shown in tweets

Hi, I’m running a blog which regularly reposts part of the content of another blog (with permission). When people want to read the article to read the rest they are redirected to the blog the post came from. In order to do this I have a plugin (WPEMatico) running which changes the permalinks to the address of the blog the partial article is from. This works as I desire, but I just added Twitter to my installation and when publishing something it doesn’t show the permalink on Twitter (which points to the blog the article came from). It shows a link to the article on my blog, which I don’t want.

This is not what I would like. I would like to post the permalink of the original blog and not mine, but see no setting to change this. Anyone know how to get this to work?