Qualifying winner Leclerc on Friday and Saturday started the race cleanly holding front-row rival Verstappen at Turn 1.
However, the Ferrari driver was vulnerable as he activated DRS at the start of the third lap of lap 51, and the chasing defending champions cut a 0.4-second gap before using the overtaking assist to cross the finish line.
The submissive Leclerc was then knocked out to his eventual third place at the start of lap six, with Victor Perez doing a similar thing with his team-mate, activating DRS on the inside going into Turn 1 overtake.
As Perez and Verstappen pushed each other in the battle for victory, Leclerc was 21.217 seconds behind the leading duo, although he was 0.8 seconds ahead of fourth-placed Fernando Alonso.
The gap led Leclerc to declare that Red Bull was still in “another league” for Ferrari in terms of race pace, with Monaco ceding the lead to Perez in Saturday’s sprint race.
Leclerc said: “(Red Bull) are in another league in the race.
“More than 51 laps, it’s impossible. They race much faster than us.
“I think they found something that we haven’t found. That’s what we’re focusing on at the moment, everyone is giving it their all and trying to understand what we can do in the game, especially to get better performances. “
However, Leclerc did take some solace from the tweaks Ferrari made in Australia, which have unleashed more speed and carried over to the competitive performance in Azerbaijan.
Asked if he felt the gap to Red Bull was closing, he said: “Honestly, it feels a little bit better. But when I see the gap, I’m pretty sure when you have that gap, you probably don’t. 100% effort.
“We don’t really know how much we’ve closed the gap. It feels a little bit better.
“But again, Aston Martin is also very fast. Today. So we have a lot of work to do.”
After stopping Aston Martin’s Alonso from ending his race for the two-time champion’s podium in 2023, Leclerc added: “He’s working hard.
“I knew his intentions from the start because he always does it, trying to hold the tires at the start of the pit stop and push at the end. So, I tried to do the same.
“In the end, it was close, but it wasn’t enough for Fernando today.”