The Sunday Mail reports that United plan to offer Everton £15million plus Antonio Valencia in a bid to sign Baines.
United boss David Moyes is convinced that he need to bring in a new top left-back in the January transfer window.
Evra has had a poor start to the season, while Moyes does not feel Alex Buttner is up to the job.
If Everton reject the new bid for Baines, Moyes will attempt to make a new move for Real Madrid star Fabio Coentrao.
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.