I think I have found something.
Your Cyrus 8SE output is 2.1V and the output of your Rega Fono is 3mV for every 200mV output.
Your Rega Exact cartridge punts out approx 7mV (6.8 - 7.2 mV is quoted by Rega). So that means your Rega Fono MM signal output voltage (as seen by the amp) is around 2.3 x 200mV or 0.46 V
In other words, your CDP is putting out over 4 times the signal voltage level of your phono preamp.
The 'fault' is not the Cartridge or the phono preamp but the very high output from the CD player.
As an example, the Rega Apollo CD player has a signal output voltage of 0.5V
This is not really a problem as such. You probably notice the signal is even lower than from your old Rega Fono-Mini.
It is. The input sensitivity of the Fono-Mini was 2mV for 200mV output so with a Rega MM cartridge of around 7mV your amp would have 'seen' approx 3.5 x 200mV or 0.7V (instead of the 0.46V you are getting now from the Exact/Fono MM)
Anyway, none of this is a problem. 'Line levels' of 0.46 or 0.5V or even as high as the 2.1V from your 8SE are all within normal range. (My Naim CD5i puts out 2.0V)
You will just need to get used to having the volume up a bit louder for one source than another.
(The inputs of your Parasound have another 14db of gain so this can make the difference seem greater.)