Liverpool had already been forced to postpone a Premier League fixture against West Ham owing to their participation in the Club World Cup, where they will represent Europe as a result of winning the Champions League last season.
The club are to employ split squad scenario after their last-eight tie was confirmed for its original date of December 17, the day before the team play a Club World Cup semi-final in Doha.
24 hours, two games, two wins.
An EFL representative said: "We recognise the challenges Liverpool face in this matter and appreciate the efforts made to find a practical solution".
Goals from Georginio Wijnaldum and Alex Oxlade-Chamberlain helped the Reds move to the top of Group E in the Champions League - a point ahead of Napoli with two games to play and the Italians travelling to Merseyside next.
"The players selected on the teamsheet must meet the competition's selection requirements, which are outlined in the competition's rules with, Regulation 6.5 stating: "Each Club shall play its full available strength in and during all Cup Competition matches, unless some satisfactory reason is given".
Bengals' AJ Green expected to debut Sunday
The Ravens average over 200 rushing yards per game. "Here they come roaring back and we make a couple mistakes", Harbaugh noted. Green has been out since Week 13 of last season after re-injuring a toe injury that eventually saw him land on injured reserve.
When Guardiola was asked after their 2-1 win over Southampton if he was aware of the Reds' comeback victory, he told the BBC: "It has happened many times, what Liverpool have done, in the last few years".
"We have more important things to do now - today playing a game, then concentrating on the next game".
Liverpool will now be sending one squad of players to Qatar and leaving a second squad behind to face Villa.
I can't recall ever seeing something like this before, and, as the club said, it's not ideal. I've talked about the problems, they are obvious. What I don't like about the Carabao Cup, to be 100 percent honest, is two legs in the semi-final.
Klopp had originally vowed to withdraw from the Carabao Cup if it a suitable date could be found, but speaking after Liverpool's 2-1 win over Genk in the Champions League, the German coach revealed that he didn't want to get on the bad side of Federation Internationale de Football Association and the EFL.
The two games in two days on two continents in two competitions is - as far as we're aware - unprecedented.
"So there was a situation in the Aston Villa game, he got contact and went down - and maybe it was not a penalty but there was contact".