Typinator requires a global macOS setting to monitor keystrokes. Per default, this feature is turned off, so you need to enable it when you use Typinator for the first time. Typinator should guide you to the right settings. If you have any problems, you can find detailed information in this article.
Please note that you need administrator privileges to enable this. If you do not have the necessary privileges, ask your system administrator to enable this option for you.