Tate told 105.1 FM Detroit he thought the move was "so disrespectful" and "a terrible gesture," according to MLive.com. Schwartz was fired as the Lions coach last December, then hired as the Bills new defensive coordinator in January.
"I didn't like it at all. If I knew I wasn't gonna get fined, I would have snatched him right down off the shoulders and threw him on the ground, personally. But, you know, obviously, I couldn't do that," Tate said.
Buffalo won the game on a 58-yard field goal by Dan Carpenter with 58 seconds remaining. The Bills had entered the fourth quarter down 14-6 before rallying for 11 points in the final 15 minutes.
Tate is in his first season with the Lions and didn't play for Schwartz personally, but said he knows it's "not the first time [Schwartz has] done some things like that."
"It's something that doesn't go unnoticed. Trust me," Tate added. "We'll cross paths again I'm sure at some point, and we'll make sure we handle our business. We're not going to draw too much attention to it. It's in the past. Good win for them, and hopefully they feel good about the 'Rudy' moment they had."
The Bills (3-2) host the Patriots on Sunday, while the Lions (3-2) play at Minnesota.
- Molly Geary