Rotherham boss Mark Robins hailed his side's resolve despite seeing their Carling Cup run ended by a 2-0 defeat to Premier League side Stoke.
The Potters ran out comfortable winners in the fourth round tie at the Britannia Stadium thanks to goals from Glenn Whelan and Danny Pugh.
Millers said: "It was always going to be a tough one, but I wanted us to give a good account of ourselves, and we certainly did more than that."
He added: "If we had believed in ourselves a bit more we may have got more out of it. We played some good football and they were nervy about us at times.
"We wanted to go as far as we could, but it was a bridge too far. Everyone connected with the club should be proud of what the players have achieved. And we are still in two other cup competitions."
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