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.
Potential solutions:
- 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.
- Disable FileVault (see more details below).
To disable FileVault:
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Go to System Preference > Security & Privacy.
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In Security & Privacy, select the FileVault tab, then click Turn Off FileVault.