Hibernian head coach David Gray told BBC Sportsound: "It's like déjà vu in terms of going down to 10 men again.
"I thought Celtic started fast, as you would expect, but when you go down to 10 men, after everything I spoke about before the game about giving us the best possible chance to win, it makes it extremely difficult.
"I can't defend the red card. It's not the character and there's no intent there but it's a red card because of where the contact is.
"You want to be in it for the last 10 minutes to have a go, and we did that today. We had a real go at the end and had a big chance. When you get those chances you need to take them.
"The biggest frustration for me is the goals that we concede are avoidable, even with 10 men. One is a set piece and the other we have enough bodies in the box to deal with that, it's nothing to do with being a man down."
Defeat means Hibernian remain sixc poitns behind fourth-placed Motherwell and with an inferior goal difference, but Gray says the team have to do what they can in theri remaining three games, and be aware Falkirk are intent on leapfrogging them.
"We still want to achieve the same thing," he said. "Right now it's difficult because we've missed an opportunity today after the door opened yesterday with Motherwell dropping points.
"We're relying on them to drop points again but all we can do, while it's mathematically possible, is try.
"Falkirk will be thinking the same thing trying to catch us. We know we've got a tough game next weekend and we had a poor showing last time there, so we definitely want to atone for that.
"It's probably going to take three wins now and you're hoping for other results to go your way."
