Crewe took the lead against their Premiership opponents, with a goal from Aston after 24 minutes, but Everton equalised on the stroke of half time through Radzinski.
The second half was tight with both side having opportunities but it was Everton who got the winner through Campbell with 20 minutes remaining.
Tickets are currently on sale to season ticket holders and go on general sale next Monday.
Everton have taken there full allocation of nearly 5,000 tickets, so come on you Boro fans, make an effort get yourselves there, let's show the country we can fill a stadium.