Twitter is mostly used by people who try to think themselves very intelligent. Please don’t mind if you are a pro twitter user. But from my observation, I have found this as truth (may be wrong). Most active twitter users are generally fan of any technology or big company or any celebrity or political party or movie industry.
Also most twitter use love trolling each other (some users are very good in nature and not troll anyone, I agree). So not all your business can be promoted in twitter. But some can. Here are some tips to promote your business in twitter. Note that before promoting in twitter, you need to verify that most of your target market are spending time in twitter too. Otherwise all your promotions will be useless.
As usual 1st tip is to do advertising in twitter. Try to promote your funnel page than your product page.
2nd tip is to create your own business twitter account, optimize your bio, give good logo & cover and give your website link. Then post good twitter worthy contents.
And 3rd tip is to find popular twitter accounts, which your target market is following. Then contact them and make deal to promote your business with them.
There are lots more to twitter promoting which I will describe in other book/blog post. If you are more interested in twitter marketing, you can search online for twitter marketing related tips or buy any book or wait for my book/blog post.