United have lost 5-2, 4-1 and 2-0 on their last three visits to Barnsley - albeit two of them under Simon Grayson - and a Chris Dagnall brace did little to appease the fans who chanted `Warnock time to go'.
The former Scunthorpe striker netted from the spot after he was caught by Sam Byram before bagging his second three minutes later as Leeds fell apart.
"We were very poor in the first half and if I had have been one of the 5,000 I might have said what they were," he conceded.
"I thought we had some great chances at the start of the second half and then there was a horrendous tackle from Dawson. How that's not a red card I don't know."
Warnock fought back against the crowd's claims he should go, however, insisting he was doing the best he could. The 64-year-old is not the first United manager to accept his club cannot compete at the top level of the transfer market.
"You can't blame the fans... they pay their money," he said.
"But I think I'm doing a great job if I'm honest and with one or two additions that I've got lined up... I understand their disappointment but we know we need to strengthen."
Warnock also issued a warning note to Leeds' fans about the future of 19-goal striker Luciano Becchio.
His assistant, Mick Jones, last week said he expected bids to arrive for the Argentinean and Warnock said: "His head wasn't right and that's why the transfer window is such a nightmare for managers. I'll be having a word with him."
- Sports & Recreation