DEAR ALL I HOPE THIS IS THE ANSWER TO ALL YOUR ERROR 53 WOES.
I SUFFERED THIS HORRENDOUS ERROR AFTER CHANGING MY SCREEN ON MY IPHONE 6, I DID RETAIN THE ORIGINAL HOME BUTTON HOWEVER.
MY ANSWER AND SOLUTION CAME WHEN I PURCHASED A GENUINE APPLE TOUCH ID FLEX CABLE AND INSTALLED THIS.
LINK TO THE INSTALLATION IS BELOW, AND LINK TO THE REPLACEMENT FLEX CABLE IS BELOW ALSO.
PLEASE ENSURE THAT THE BATTERY IS DETACHED BEFORE REMOVING ANY CABLES. ONCE YOU HAVE RE ATTACHED THE CABLES THEN RE ATTACH THE BATTERY.
REPLACEMENT CABLE - https://www.replacebase.co.uk/apple-iphone-6-4-7-home-button-touch-id-flex-cable-original/
INSTRUCTIONS - http://vkrepair.com/error-codes/iphone-6-error-53/
I HOPE THIS HELPS