Hi @Pathfinder17,
There is currently no auto-synchronization between Web and Desktop so the flight list needs to be reloaded for the flight that you created in Web to turn up there. We will add a refresh button in a future release. A workaround in the meantime is to toggle the sorting order of the flights, which will reload the list. You can do this by either pressing the ascending/descending button twice or switching between sorting by name and date. This will refresh the flight list, and the flight you created in the web version of Charts will appear.
Kind regards,
Markus