Often iPhone Mirroring causes a Mac to require a password after screen sleep, and the option to change this to anything except "Immediately" is greyed out.
To fix this, follow these steps...
Open you iPhone Mirroring app on the Mac. Go to "iPhone Mirroring" menu, then "Settings". Change to "Ask Every Time". Go to Apple menu, "System Settings", "Lock Screen" on the Mac. Set "Require password after screen save begins or display is turned off" to "Never". No password will be requested after sleep now.
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