Betts had suggested the Warriors were "afraid" of facing England forward Gareth Hock after preventing him facing his parent club while on loan to the Vikings.
"The challenge was laid down in the week and they took it on board," Wane said.
"Some things were said which made it easy for me. It helped our preparation. I don't think you could say anyone in my team is scared of anybody. Those childish comments hurt my players. They were really focused going into the game. What they did was how they practised all week. We were ruthless in how we attacked."
The Warriors bounced back in style from their defeat at Leeds to run in 11 tries and close to within a point of Super League leaders Huddersfield. Full-back Sam Tomkins celebrated his 24th birthday with a hat-trick of tries but he was overshadowed by Josh Charnley, who ran in four tries to take his tally to 73 in 74 appearances for the club.
"Josh will admit his form has not been great," Wane said. "He was under pressure this week and he showed why he's one of the best wingers in the competition. I just want to see that consistently."
Charnley said: "I was pretty disappointed with my performance last week. I stepped it up in training his week and it paid off."
Widnes stand-off Lloyd White scored a late try to avoid a whitewash but Betts admitted his side were outclassed by their hosts.
"Wigan were that hot, it was quite scary at times," he said. "They looked like they were on fast forward, whereas we looked like we were on pause. They just played the game so quickly and physically dominated us. They were very good and scored some great tries.
"It wasn't a great performance by us but there were patches where we were just okay and then we'd break and they'd score. With the quality they've got on the edges, you make one mistake and you get hurt. We had too many people who made mistakes, especially on our left edge. It was disappointing because I know we're a better side than we showed."
- Sports & Recreation
- Josh Charnley