The Millers matched Leeds for the majority of the third-round FA Cup-tie at Elland Road but were undone by their inability to create any clear-cut chances.
And boss Neil Redfearn knows that was the difference between the two sides as Rotherham United’s wait to get past the third round goes on to a 15th year.
“The first goal came in Leeds’ best spell in the first half,” he said.
“Up until then I would say we were the better side but we didn’t create enough.
“The first goal is a fantastic strike. Sometimes you have just got to hold your hands up.
“I’m disappointed we didn’t create more in their box, but we have come to Leeds twice and there has been very little between the sides, which for us to come to a big club and compete is good for us.
“I’m disappointed with the result but not the performance. We competed well. We just didn’t have enough cutting edge to get our noses in front.
“Two-nil flatters them probably. I’d say Leeds deserve to go through but now we’ve got to move on.
“I was pleased with the way we applied ourselves.”