First of all, Omega is a watch brand with a long history and a wide range of products. In order to better understand your watch, can you tell me which series of Omega watch you bought?
Secondly, official website has no information about this watch. Perhaps the style of this watch is out of date, or the limited edition has been sold out. It is also possible that what you buy is not the main push, and the brand will adjust the product delivery and display according to the market demand and promotion strategy.
In addition, if your watch is not similar to any model in official website, or the movement does not match the genuine Omega, then it is possible that your watch is a fake watch. Fake watches often imitate the appearance of real watches, but internal parts such as movement are often of low quality, and even low-end movements are used. In order to confirm the authenticity of your watch, you can go to the maintenance center authorized by Omega for consultation and appraisal.
Generally speaking, just because Omega official website doesn't have your watch doesn't necessarily mean it's fake or there's something wrong with it. In order to ensure that your watch is genuine, it is suggested that you can contact the official customer service of Omega or go to the maintenance center authorized by Omega for consultation and appraisal.