Defending Carabap Cup champion Manchester City has been drawn away to Preston North End in the third round, while Manchester United will host Rochdale.
Salford City will face Leeds United in the first round of the Carabao Cup after the draw was made at a supermarket.
Kepa Arrizabalaga insists he did not refuse to be taken off in Chelsea's Carabao Cup final defeat to Manchester City and says the incident was simply a misunderstanding.
Maurizio Sarri claimed Kepa Arrizabalaga seemingly refusing to be substituted during the Carabao Cup final was a "misunderstanding".
Kepa Arrizabalaga should never play for Chelsea again after refusing to be substituted in the Carabao Cup final, according to former striker Chris Sutton.
Everton booked its place in the third round of the Carabao Cup, with a 4-2 win over Lincoln City on Thursday (AEST).