Head coach Alain Vigneault said simply that his team was not ready to compete once the puck dropped.
"I don't want to take anything away from the opposition but there's no doubt we didn't do a good enough job in preparing our team for tonight's game," he said. "I've mentioned it many times there are no easy games in this league. We weren't ready when the game started. Our execution was non-existent. We didn't have a [defenseman] who could make a pass and our compete level was not good enough.
"I haven't said this very often about this group since I've been here," Vigneault continued, "but this was a very bad game where we got outworked badly and we're going to need to respond here."
Buffalo jumped out to a 2-0 lead in the first period on goals by Zemgus Girgensons and Evander Kane, the latter coming with just 39 seconds remaining in the period.
The Rangers did not have their first shot on goal until the 9:54 mark of the opening period, something captain Ryan McDonagh attributed it to a lack of effort.
"They outworked us there in the first, there's no question about it," he said. "There's no excuse for that. We owe it to ourselves as players, our linemates and d-pairs, to prepare yourself for every game so you can go out and execute and give ourselves a chance. For whatever reason we didn't do that tonight."
The Sabres would extend the lead to 3-0 on a Justin Bailey goal just 63 seconds into the middle frame.