Leeds went down to ten men against Hull City on Wednesday night but still managed to play out a 0-0 draw at the MKM Stadium.
However, the Whites looked a bit off-colour in attack after a very solid performance by their forwards at Millwall last weekend.
Redfearn insisted that if Leeds want to emerge as serious promotion contenders and live up to their billing this season, they need to show more potency in attack against the better sides of the division.
He pointed out that Ipswich and Millwall’s intent to attack Leeds suited Daniel Farke’s team and they managed to score seven goals in those two games.
However, Hull were a little more defensive and Redfearn feels they are the kinds of teams Leeds need to be better against in the final third of the pitch.
The former Leeds manager said on BBC Radio Leeds: “For Leeds to get to the next bit where they look like they are going to go up and really challenge, there needs to be a little bit more poke in and around the box against the better sides.
“Having said that, they stuck four past Ipswich.
“But there you’ve got a side who are free-flowing like Leeds, they are not worried about Leeds because they are up there and so they wanted to play their own game, probably suits Leeds.
“Millwall tried to play their own game, suited Leeds and these were a little bit more cagey and they were happy not to have possession.”
Leeds still only have two wins in the league this season ahead of hosting Watford at Elland Road this weekend.
