OK, I found the problem. UP-FCM Distributor is not working good. However, installing ntfy solved his problem, so do not repeat my mistake. :)
But also do not forget to set battery usage for ntfy without restrictions.
Final thoughts
App looks really nice, and it is not eating too much battery (about 1%).
Option to get data through SMS is quite cool to, because if phone does not have data connection, you can still track it via old 2G network. But of course, this option could be quite dangerous, because an attacker could fake SMS caller ID field and then intercept the response. But then, you can change fmd command to something else...
Anyway, nice app, but I would really like to see something like that in GrapheneOS natively. :)