Asbaghi said: “This is just how the FA Cup is. It was a crazy game.
“I’m happy with the win but I’m disappointed with our mentality, we should kill the game in the second half.
“I think our reaction after their first goal is not acceptable. Of course they get a lot of energy after that goal but we didn’t take responsibility. We shouldn’t have allowed them the chances they had in the second half.
“We have lots of players missing, there were lots of rotations and of course it affects the understanding of the team, but in terms of mentality we looked really young out there.
“I really hope this won’t be the case against Stoke in the Championship, I hope our mentality is an issue we can overcome.”
Twice the Reds went in front, through Devante Cole and Morris, before James Jones and Josh Kay pegged them back, only for Morris to bag an extra-time winner.
Barnsley: Walton, Jordan Williams, Moon (Hondermarck 65), Andersen; Kitching, Brittain, Vita, Styles, Cole, Adeboyejo (Morris 65); Palmer (Ackroyd 106). Unused substitutes: Sraha, Collins, Danny Benson, Bremang.
Barrow: Farman, James Jones, Platt, Brough, Hutton; Banks (Arthur 87), Beadling, White (Devitt 87); Driscoll-Glennon (Brown 106), Stevens (James 58), Sea (Kay 32). Unused substitutes: Taylor, Ellis, Lillis, Ntlhe.
Referee: R Joyce (Cleveland).