Many of your customers love and use Twitter, and it's sometimes not enough to simply copy and paste a Facebook post into Twitter. Each platform should be given its own approach to be most effective.
Also, with the 280-character limit, word choice and usage matter. You have to convey information in a small amount of space, and it needs to be enough to entertain or engage your audience. The 80/20 rule applies here, in that about 80 percent of your tweets should not be blatant self-promotion. Retweets and links to educational or funny articles and videos are some ways to deliver value to your customers and to build a network of followers.