It's easy! Just type a message in the "What Are You Doing" box, and click the "update" button. Your followers will see your message on their Twitter screen Hope this helps!
I posted 5 messages today and none of them are appearing on my followers pages. I even logged out to check. But still can't see my tweets there.
You won't When you look at their page you'll see their 'outgoing' messages. When they are signed in, they'll see all the tweets from people they follow.
So, my message will be read only by the people who are following me, not by all the people who are followed by my followers? Is it correct?
Yes - the convention is that people 'retweet' -repost the meassge crediting who it originally came from with an @infrontofusername - if they think it's something interesting that their followers should see.