Jürgen Klopp’s men had the ball in the net again with Virgil van Dijk’s header from a Trent Alexander-Arnold corner, although that goal was ruled a foul.
At the other end, in the 20th minute, Caoimhin Kelleher moved quickly to tip Stindl’s deflected shot over the bar after a spell of pressure from the home side.
Kelleher, however, could do nothing to prevent them from leveling seven minutes before the break.
Marvin Wanitzek clipped in a free-kick on the edge of the box, where Stindl was positioned to meet it with a thunderous volley that crashed off the underside of the bar before bouncing over the line.
Andy Robertson’s cross was well saved by Núñez as a completely different Reds XI emerged for the second half.
Karlsruher would go ahead for the first time on the night when Jung broke free on the right and raced into the box to drill a shot past Vitezslav Jaros.
Liverpool almost produced a quick reply but Jota and Calum Scanlon were thwarted by Drewes.
The visitors’ probe continued and they equalized again in the 69th minute when Gakpo turned and finished near the six-yard box, after Jota rose to head home a Joe Gomez cross from the right.