If your Bluetooth mouse or keyboard does not reconnect after a reboot at the login screen and only reconnects after the login, this might be related to FileVault encryption.
When FileVault is enabled, Bluetooth mice and keyboards will only re-connect after login.
- Upgrade your MacOS to the latest version
- If your Logitech device came with a USB receiver, using it will solve the issue.
- Use your MacBook keyboard and trackpad to login.
- Use a USB keyboard or mouse to login.