The person who Squealer tells the animals lied about trading with men is Snowball.
This is a fictional character in the given book who represents Leon Trosky and is a workaholic with good public speaking skills and is one of the influential pigs in the farm.
With this in mind, we can see that Squealer and Snowball were involved in a power tussle and as a result of this, he tells the animals that Snowball lied about trading with men
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