Jurgen Klopp was disappointed Liverpool were not able to produce a "special performance" against Real Madrid, meaning they would have been eliminated from the Champions League regardless of the first-leg collapse.
Liverpool headed to the Santiago Bernabeu for the return match in the last 16 with a huge task, needing to overturn a 5-2 deficit.
Klopp's Reds were unable to do that as they instead lost 1-0 to a Karim Benzema goal and bowed out 6-2 on aggregate.
While the nature of the heavy defeat at Anfield in the first match impacted on Liverpool's attempts to rescue the tie on Wednesday, Klopp pointed out even a draw at home would not have been enough if Madrid then controlled the second game.
"To be honest, if we draw at home and play the game that we played tonight, we go out probably as well," Klopp told BT Sport. "We cannot come here and hope that you get something.
"We prepared for a special performance, but we were not able to put it on the pitch tonight.
"It was obvious, I think – nobody is thinking, 'how could Liverpool go out?' That's probably the best sign that the right team went through."
6 - Under Jürgen Klopp, all six of Liverpool’s eliminations from major European competitions have come against Spanish clubs (Sevilla x1, Atlético Madrid x1 and Real Madrid x4). Adios. pic.twitter.com/SaTvkucSvC— OptaJoe (@OptaJoe) March 15, 2023
He added: "In three halves of the two games, they were the better team. That's how you go through to the next round."
Liverpool at least avoided another embarrassment, albeit only after Alisson impressed in goal, making two "sensational saves", according to Klopp.
"Not all exits are like this," the manager said. "There are probably 500,000 different ways to go out, and this was ours tonight.
"It's not what we wanted, but it's what we got. Now we have to carry on."