Goals from Lewis Miley's own goal, Jayden Bogle, Dominic Calvert-Lewin and Noah Okafor put the game beyond Newcastle inside an hour at Elland Road on Monday night, with Bazoumana Touré's stoppage-time consolation doing little to soften the scale of the defeat. The result lifted Leeds United to third in the Premier League table.
"For each manager, it's a nightmare to concede so late after a performance like that," Farke said. "We allowed them to score, doesn't take anything away from us. My boys were brilliant, perfect start. Even in a perfect performance there's always something to moan about, this was definitely one of the rare points I have to criticise.
"We knew we needed to find a good balance but we were aware of their pace and counter attack. We found the balance today, we were the dominant side. We have good fitness levels, you always need to find the right triggers. When you press, everyone has to be on the same page. It's a lot of work at the training ground to be that intense."
Farke rejected any suggestion that the opening goal owed much to fortune, insisting his side had manufactured the position themselves. He also singled out Dominic Calvert-Lewin, who scored his side's third and continued his fine start to the campaign.
"He plays with confidence, his fitness is up," Farke said. "It's not just the goals though, the way he plays is outstanding. He's one of the standout strikers in this league. Tonight, we'll enjoy the win. Tomorrow, we prepare for our next game on Sunday."
For Newcastle United, the loss was a first taste of defeat under Matthias Jaissle since he replaced Eddie Howe in the summer.
"That was a tough match, a tough evening," Jaissle told BBC Sport. "In the Premier League you need to bring the fundamentals on to the pitch, the physicality. If the opponent is showing that and if you can't match this physicality then it's going to be difficult, and that's something we learned today. I don't want to search for excuses.
"We know with a young squad if something goes wrong you need to find the right reaction on the pitch, and we were not able to do that."
Jaissle also explained his decision to turn to 18-year-old Sean Steur after Nico González was forced off, with Jacob Ramsey ruled out through injury in the warm-up.
"There was not too many alternatives for that position," Jaissle said. "We trust our young lads, but today we also saw that the lads need time."