Have you noticed that there are more and more people addicted to smoking? This is correct as an English sentence. "being addicted" would not be correct. "becoming addicted to" would be correct. But I think most English speakers would just say something like Have you noticed that there are more people smoking?

There are at least several ways to communicate the idea. Have you noticed that there are more and more people addicted to smoking? Have you noticed that more people are addicted to smoking? Have you noticed the prevalence of smoking? Have you noticed increased smoking addiction? Have you observed the increase in the habit of smoking? Have you noticed the prominence of smoking? Have you recognized that smoking has become ubiquitous in our culture? Are you aware that smoking has become ubiquitous in our public places? It has become self-evident that habitual smoking is a growing problem. Are you aware that smoking as a habit, has become self-evident in the modern world?

Michael's comment gives a good answer. But to me, it is a strange thing to say. Here, smoking is definitely becoming much less common. Strangely - most people I see smoking here are Chinese. Perhaps that is why you said it?