The Predators had the first 17 shots on goal until Columbus forward Johnny Gaudreau flipped a 94-foot shot from the neutral zone at 15:12 of the first.
The Blue Jackets were outshot 19-9 in the first.
“That's on us. We just weren't ready to go,” Columbus captain Boone Jenner said. “We weren't able to establish our game at all, and that's on us.
“With our start, if it wasn't for [Tarasov], it would have been a lot worse. We come in after the first period and were only down one. He kept us in it the whole night.”
Texier tied it 1-1 at 1:50 of the second period, when he was at the left post for the rebound of an Ivan Provorov shot from the point.
“It was all about the 1-on-1 battles,” Blue Jackets coach Pascal Vincent said. “They were winning those battles. It was individual battles. We started the second period the proper way, and it showed the rest of the game.”
With Tarasov pulled, Lankinen preserved the lead with an outstanding glove save on Gaudreau from the slot with 18 seconds left in the third.