"If (Trent) looks on tape and he thinks he sees some candy, come try and get it," Umenyiora said Friday.
Umenyiora's challenge came in response to comments Richardson made earlier in the week.
"I think that if we cover the edges and run hard, no doing all this juking and that, one move and go, I think we can have success in the running game," Richardson said.
The Giants rank 22nd in the NFL in rushing defense, allowing 118.3 yards per game.
Last Sunday night, Philadelphia's LeSean McCoy rushed for 123 yards against them on 23 carries, an average of 5.3 yards per attempt. As a team, the Eagles ran for 191 yards on 36 carries.
Richardson, 21, Cleveland's first-rounder out of Alabama, has rushed for 222 yards and three touchdowns on 64 carries.
Richardson missed practice Friday to be with his girlfriend as she gave birth to his third child. Browns coach Pat Shurmur expects Richardson to travel with the team and play. Shurmur doesn't think Richardson's personal issues will have a negative impact on him giving a good performance.
"I've seen guys go through family situations, personal situations and come out and play outstanding games," he said. "What's important is that he tidies up on the preparation that he missed, which I know he will."
Richardson should be well-rested. The Browns haven't played since Sept. 27, and the 10-day break has given him extra time to recover and prepare for the Giants' defense.
"If he proves it, I'll shake his hand and tap him on the butt," Giants linebacker Mathias Kiwanuka told the Newark Star-Ledger. "If he doesn't, I expect never to hear from him again.
"The thing that he's got to learn is, that in this game, talking doesn't mean anything."
Information from The Associated Press was used in this report.