Logitech G613 Bluetooth keyboard stops working after first connection on 2019 Macbook Pro My G613 Logitech Keyboard connects to my MBP correctly at first. The MacBook ask for a pin code, the keyboard is working and it works without any problems.

As soon as I power off the keyboard just one time, or put the MacBook to sleep, the keyboard stops working.  However, it still shows as connected in the Bluetooth device list. 



Some informations :


Keyboard works perfectly on another PC
Macbook is on Catarina, last available update.
Catarina is an update, not preinstalled
Keyboard worked before, can't remember if on catalina or not
Tried a SMC reset
Tried reinit Bluetooth module (shit+option on Bluetooth icon > Debug)
I faced exact same problem. This worked for me :

press and hold the Bluetooth button in the g613 keyboard until it starts blinking faster. 

On Mac, do the BlueTooth connection as explained by @Vadim Flaks, once connected you can remove the old G613 from your BlueTooth settings ( which is now disconnected )