Kane scored his second goal into an empty net with 2:47 remaining and Saad capitalized on another defensive-zone turnover to score his second in the game's final minute.
"I think we want to score and we have no respect for our end right now," Pominville said. "It's been a trend for a little while. It's definitely an area we've got to clean up. I mean, we made those guys look really good because we had no respect for our end. Everything they got, we gave them."
For an example of detailed checking turning into offense, Pominville pointed to the Blackhawks' top contributors.
"Those guys, you look at their top players, they obviously were able to produce offensively tonight, but give them credit," he said. "They tracked, they worked hard to get back, they defended hard. Yeah, they found a way to get on board because of it.
"We've just got to sharpen up in our own end and not hand them freebies. Make them work for it. If we do that, we'll be able to get back on track, but we've got to do it sooner than later."
The Sabres still have six games remaining on their season-long homestand, beginning with a visit from the Minnesota Wild on Tuesday. Eichel stressed the importance of responding the right way, beginning with practice on Saturday.
"Mistakes are costing us points and that's points in the standings that we can't lose," he said. "There's two ways to go about this as a group. Obviously. we can't dwell on it. Long homestand coming up and we've just got to dig in.
"We've just got make it harder on the other team. We have possession, we can't give it back to them. We've got value it and just make it a lot harder on them."