After Matt Derbyshire's close-range strike gave Nottingham Forest the lead, Ings came to the fore with a pair of fantastic goals to give the Clarets a 2-1 win.
The first involved the 21-year-old pivoting and rifling home a half volley in one swift move while the second saw the ex-Bournemouth forward cleverly head home a near-post free-kick.
Ings has now bagged nine goals already this season and four in this competition, which meant Dyche had no problems again fielding questions about his free-scoring number 10.
He said: "I mention it every week and I'm getting bored of saying it myself, but in a good way, because he's enjoying his football, you can see it.
"He's got that nice energy and we know he's got quality."
The Clarets have not lost at Turf Moor since March and have won each of their last 10 League Cup ties at home, leaving Dyche excited about the impact of another cup run both on and off the field.
"It was an important game for different reasons," he added.
"A lot's been made of us balancing the books and that might help if a big one gets pulled out of the hat.
"It's a win-win now. You want to play well and you want to win a game. You might get a few quid, you might pull someone not as big - then you win that and you go through to the next round. I felt it was an important game for those reasons."
Forest boss Billy Davies again made 11 changes, just as he did in the previous round, and was pleased his much-changed outfit were only narrowly defeated by a strong Burnley side.
The key moment, Davies argued, came a minute before Ings' second strike when former Blackburn striker Derbyshire scooped over the bar when one-on-one with goalkeeper Tom Heaton.
"It was a good cup tie," said Davies.
"I thought we ran a very good Burnley side that are going very well in the league extremely close.
"Second half it could have gone either way, it was the toss of the coin. We should have been 2-1 up and the second goal, in my opinion, was winning the match. Unfortunately a player whose done fantastically well for us, Matt Derbyshire, never took his chance."
Davies, though, would not hold Derbyshire responsible for the cup exit.
"You say nothing to him except just keep doing what you're doing," the Scot added.
"He was dead and buried in the summer and he's come back and worked extremely well."