The former Liverpool manager guided the Merseyside outfit to League Cup glory in 1995 when the eight-time winners secured a 2-1 victory over Bolton Wanderers at Wembley.
The Reds have won three of their last four games against the Citizens in all competitions ahead of the Capital One Cup showpiece.
Former Liverpool boss Evans, who stood down in 1998 and was replaced by Gerard Houllier, sent a message to the 18-time English champions via Twitter.
Down at Wembley with @LFCTV hope all Reds have a great day and we've got Some silverware to celebrate later. Come on you reds.
— ROY EVANS (@Roy_Evo) February 28, 2016
Liverpool are bidding to win the League Cup for a record ninth time.
Manuel Pellegrini’s side won the Capital One Cup in 2014 thanks to a 3-1 win against Sunderland.
Liverpool sealed an impressive 4-1 victory over City in their only Premier League meeting of the season so far.
The Reds host Pellegrini’s side in the English top flight at Anfield on Wednesday night.
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