The article mentions Alice Perkin's role as Chair of the PO.
powerbase.info
From this link...
."Alice Perkins is a former civil servant, working in the Department of Health and Social Security, the Treasury and the Cabinet Office. She is currently chairman of the Post Office Ltd and an associate at JCA Group"
Alice Perkins is married to the former Home Secretary Jack Straw. He retired in 2015. (MP for Blackburn)
The below copy/paste is from your BBC News article and, as you see, the agreement (minutes of a meeting) to sack Second Sight are dated 30 April 2014 and Jack Straw was still an MP.
My bold:
"Three weeks later, on 30 April 2014, they agree on a plan to bring the investigation of sub-postmasters' cases "within the control of the Post Office", removing Second Sight from its role of investigating sub-postmasters' cases independently. However, that decision was kept secret from Parliament and the public as the Post Office claimed Second Sight's independent review supported its approach to sub-postmasters' complaints. The Post Office was then seeking to defuse the scandal through a mediation scheme, which excluded many victims from compensation"
So, his wife not only didn't tell parliament about "sacking" the auditors Second Sight but, one assumes, her husband. I wonder what Jack thinks of all this ?