This has been posted before but it's worth another look:https://www.reddit.com/r/soccer/comments/3z2a7c/video_analysis_of_evertons_defense_and_how_to_fix/
There are plenty of examples in here where (1) Kone drifts infield or to the right, and (2) Galloway pushes up the field at fullback, as we know our fullbacks are instructed to do when in possession. Every time we lose the ball in this alignment, the opposing right winger has an acre of space to run into. Shaqiri slaughtered us with this movement -- Navas, Sterling, or De Bruyne can easily do the same.
Assuming all of these players are fit, I think we'd do best if we set up like this:
Coleman Stones/Jags Jags/Funes Mori Baines
This formation will give us two solid banks of four in defense as Lennon/Cleverley are reliable in performing their defensive duties. When we win the ball back, we can look to counter quickly through Barkley/Lennon/Lukaku. If we concede and end up chasing the game, we have the option to introduce Deulofeu/Kone for Lennon/Cleverley.
It's a bit negative, but Barkley/Lennon/Lukaku have the pace and/or power to ask questions of City, especially since they ask their two CBs to cover a lot of space when they're attacking. I think we should look to exploit them on the break first and, failing that, introduce our more dangerous attackers to go after their tired defense.
And, for what it's worth, I like Kone too, but I hate him on the wing because he's not diligent enough with his defensive duties (see the above link or recall how apathetic he was tracking back when we brought him on for the end of the last league game against City). If he plays, he has to be allowed to get close to Lukaku and someone else needs to cover the flank.