Rangnick confirmed Pogba is set to miss the rest of the season with the calf injury he suffered at Liverpool, and expects United's £89million record signing to leave for nothing when his contract runs out in June.
And he blamed Pogba's last act as a United player for contributing to Liverpool's opening goal at Anfield when the Frenchman failed to tell referee Martin Atkinson he was injured.
"It was never part of the game plan to stand at the halfway line, even more so since Pogba was already hobbling across the pitch," said Rangnick.
"He should have lain down or sat down, but he was trying to hobble behind the referee and tell him he's injured. We were effectively one player down and still attacking high up."
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