Doncaster will be looking to bounce back from successive defeats when they entertain in-form Workington Town on Sunday.
“Take nothing away from Sheffield, they’re a very strong side and I thought they were good on Sunday,” said player coach Paul Cooke.
“They surprised us a little with the way they moved the ball and they were a threat on their left edge.
“But I still felt we contributed to our defeat by making too many individual errors.
“I’m including myself in that comment,” he added.
“If I’m honest, I probably cost us the result when failing to find touch with a late free-kick and I’ll take that on the chin.
“I think we were probably better defensively than we had been in our two previous games but having said that when you score 22 points at home you’ve got to be looking to win the game.”
He added: “We are doing it tough at the moment and we were down to just 19 players at the weekend and the only dual-registered player who was available was Jacob Miller and he was injured.
“We also missed injured scrum-half Richard Wilkinson, who we hope to have back before the end of the season, and that’s not having a pop at anyone else.
“Mike Emmett was suspended, as he will be on Sunday, and it just shows how much we miss him when he’s not playing. He does a lot of work that perhaps goes unnoticed from the stands.
“We are having to move players around, which is never ideal, but we are still doing enough to win games and, as I say, it is individual errors which are costing us.”
The Cumbrians will check in at the Keepmoat Stadium on a run of seven successive Championship wins which has seen them rise from the relegation zone into the top eight.
“They’ve been playing some good stuff and they’ve benefitted from having some dual-registered players from Wigan,” said Cooke.
”They are a really good group at the minute and when a team wins seven on the trot people start to sit up and take notice.
“They won’t be coming down here and fearing us that’s for certain.”
Dons’ losing bonus point against Sheffield means they cannot finish outside of the top nine and that they are guaranteed a place in next season’s Championship.
Promotion to the Super League will be re-introduced next season.