Updated to 10.12.6. Does not change anything for sleep.
In attachment two log files: the first one is activities for the last minute when mac is sleeping, the other is the last two minutes of the log file holding the word "wake".
I really appreciate your help.
Deleted com.apple.PowerManagement.plist and then all 3 com.apple.PowerManagement.XXXX.plist, and restart.
com.apple.PowerManagement.plist was not rebuild
the mac sleep become worse: a read light appear trought the bottom air grid for 5-10 seconds, the fan spin for 2-3 seconds
this cycle repeat...
Every 30 seconds (when the MacPro 2013 sleep) syslog report this:
2020-09-27 08:50:53.169185-0400 0x73 Default 0x0 0 kernel: (AirPortBrcm4360) ARPT: 1945.482807: AirPort_Brcm43xx::powerChange: System Wake - Full Wake/ Dark Wake / Maintenance wake