The so-called “Triples” were elite units of Afghan soldiers set up, funded and run by the UK.
On Monday, Pollard said the government has so far overturned 25% of the rejections.
He said a review had found new evidence that some of the Afghan soldiers had been directly paid by the UK government, meaning they were eligible for resettlement – and this evidence had been “overlooked” during the initial resettlement applications.
These errors were caused by a “failure to access and share the right digital records, and challenges with information flows across departmental lines”, he said.
He criticised the previous government for a “critical failure” in locating the correct paperwork.
The defence minister said the government had reviewed many of the cases as a matter of urgency because many of the Afghan troops “remain at risk” under Taliban rule.
Some of the Triples are reported to have been targeted and killed by the Taliban.