After limited availability, we decided to remove SMS Connect functionality from Skype. SMS Connect will no longer be available after August 30th, 2019 but don't worry, you can still find all your individual SMS conversations with full history on your phone.

If you want to continue reading and replying to SMS messages from your computer and you're using Windows 10, we recommend you install and start using the Your Phone app from Microsoft. With this app, you can send and receive SMS or MMS messages, share photos between your phone and computer and more. The Your Phone app is continuing to evolve so stay tuned for more feature updates.

Get the Your Phone app from Microsoft Store.


Source: SMS Connect is going away | Skype Support