Shadow home secretary Yvette Cooper said:
"This independent review shows the serious failings that occurred with the IPCC investigation into Sean Rigg's death.
The IPCC is currently dealing with the largest and most complex investigations in its history, but with insufficient resources. The Home Secretary's solution to transfer police officers from the standards departments of police forces just risks building up further problems for the future.
Instead, we continue to believe that the IPCC should be replaced with a new Police Standards Authority with stronger powers and processes."
More top news
Barrie died at his home in Uxbridge, west London, after a short battle with cancer.
The first of the 66 trains for the recently-named Elizabeth Line was unveiled at a factory in Derby.
Krysia Osostowicz, 57, had her £200,000 violin snatched on Tuesday night when she was on her way back from a radio performance.