Knock-off controllers and usb errors 32&71 @ buster

[MikiMo]

Hello,
recently I switched to rpi4. I just installed fresh OS and jumped straight to installing Retropie. Obviously I've encountered problems with pairing my controllers. Btw. I was successfully using them with my previous rpi3, so they worked just fine but also there a pairing was not so straightforward. So I thought the same story here unless I checked system log. Both of controllers behave the same. I also tried another power supply. Nothing helps.

Thank you for any suggestion...

Pi Model or other hardware: rpi 4 model B - 4GB
RetroPie Version Used : 4.7.19
Built From: built on top of Raspbian 10 / Buster
USB Devices connected: usb keyboard, one controller
Controller used: ps3 knock-off controller (2 pieces tested)
Error messages received:

[  857.208840] usb 1-1.3: new full-speed USB device number 44 using xhci_hcd
[  857.309114] usb 1-1.3: device descriptor read/64, error -32
[  857.529087] usb 1-1.3: device descriptor read/64, error -32
[  857.748842] usb 1-1.3: new full-speed USB device number 45 using xhci_hcd
[  857.849092] usb 1-1.3: device descriptor read/64, error -32
[  858.069096] usb 1-1.3: device descriptor read/64, error -32
[  858.189345] usb 1-1-port3: attempt power cycle
[  858.848820] usb 1-1.3: new full-speed USB device number 46 using xhci_hcd
[  858.849102] usb 1-1.3: Device not responding to setup address.
[  859.069104] usb 1-1.3: Device not responding to setup address.
[  859.288818] usb 1-1.3: device not accepting address 46, error -71
[  859.388826] usb 1-1.3: new full-speed USB device number 47 using xhci_hcd
[  859.389112] usb 1-1.3: Device not responding to setup address.
[  859.609163] usb 1-1.3: Device not responding to setup address.
[  859.828826] usb 1-1.3: device not accepting address 47, error -71
[  859.829419] usb 1-1-port3: unable to enumerate USB device

[MikiMo]

for the record, mini-usb cable was defective.

Before I found the cable is a problem I was trying to solve that by copying the BT pairing data from /var/lib/bluetooth/* from my functional Retropie installation @ RPI3, but it seems those files are not enough.