Depending on who you believe, Everton are targeting a cup run this season.“I said last summer that to get the club back on the right trajectory, we need some cup success,” chief executive Angus Kinnear told BBC Radio Merseyside last week. “Newcastle (United) and Crystal Palace have shown that’s achievable.“We have definitely had discussions (this summer) with the ownership and (manager) David (Moyes) about how we use the cups to give something for the fans to get behind and be proud of.”Speaking to reporters after Saturday’s 2-0 win over Crystal Palace, midfielder Kiernan Dewsbury-Hall, meanwhile, expressed a desire to “go deep in a cup competition this year”.“That’s the message we’ve had, and hopefully we do that,” he added, in a cautiously optimistic tone.Such words will no doubt be music to the ears of success-starved supporters who have had to get used to Everton merely straining to stay afloat. It is over 30 years since the club last lifted silverware, and recent seasons have seen Palace, Newcastle, Aston Villa and West Ham United, the latter ironically managed by Moyes, end long trophy droughts of their own.The latest quest starts away to another of Moyes’ former clubs, Preston North End, tomorrow in the second round of the Carabao Cup.Blackburn Rovers, Middlesbrough, Swansea City and Birmingham City, all now Championship clubs, have won silverware during Everton’s barren run. In that time, the Merseyside outfit have squandered countless opportunities to bring the unwanted run to an end.From left, Gary Ablett, Barry Horne, Paul Rideout, Graham Stuart and Daniel Amokachi celebrate Everton’s 1995 FA Cup final win over Manchester United (Clive Brunskill/ALLSPORTThere have been shock defeats to lower league opposition like Tranmere Rovers, Shrewsbury Town and Oldham Athletic; controversial exits, as when Raheem Sterling appeared to carry the ball out of play before setting up Kevin De Bruyne’s key goal in the 2015-16 Carabao Cup semi-final defeat. There were surrendered leads against Chelsea in the 2009 FA Cup final and, perhaps more galling, against a weaker-than-usual Liverpool side in the 2013 FA Cup semi-final.