Keita was arguably the Reds’ best player in the 3-1 win at Turf Moor in a win that keeps up the pace with leaders Manchester City.
Liverpool remain two points behind City having secured their best-ever start after 15 games with 39 points from a possible 45.
Jack Cork put the hosts into a controversial lead on 54 minutes but two goals in seven minutes from James Milner and substitute Roberto Firmino turned the game on its head before Xherdan Shaqiri clinched the victory in injury time.
And Klopp has pointed to the impact of Keita, who was making his first Premier League start in almost two months.
“Naby made all the difference”
“We used him well at the beginning and at the end, but in between I was shouting that we had to use Naby (more),” he said.
“We played long balls, big switch, and Naby was constantly overlooked.
“He was good. Even in the first half, when Naby had the ball something changed a bit.
“To be honest I don’t criticise or blame anybody, but we all know Shaq can play much better, turn and use the space, stuff like that.
“The only one who tried to run in behind was Milly, and Naby with the ball. Hendo shouldn’t be involved in that, he had to protect the runners and stuff like.
“Naby made all the difference, I think his blocked shot was the biggest chance we had in the first half. It looked like a proper chance. Second half, one-two with Mo, good finish, bit lucky for Burnley.”
The match was only the second time the Guinea international has played 90 minutes in the league this season after a spate of injuries.
But the former RB Leipzig midfielder now looks like he is showing fans a slice of what he can really do.
With games coming this and fast, Klopp opted to leave Mohamed Salah and Firmino on the substitute bench while Sadio Mane missed the game with an injury.
And it looks to have been a good decision by the manager, although both Salah and Firmino were introduced later in the game.
Next up for Liverpool is a tricky trip to Bournemouth on Saturday afternoon.