Galatasaray began to gain a foothold in the aftermath, without truly troubling the visitors, and the woodwork soon saved them once more.
Alvin Ayman’s lofted cross from the left wing was plum for Sonni-Lambie and his nod aimed at the right side of goal bumped away off the upright.
Kone-Doherty also dragged narrowly wide of the near post from the edge of the box before a hugely dominant half for Liverpool drew to a close.
Galatasaray got themselves on the front foot when play resumed and Furkan Kocak was able to fire in a shot from a cutback that was deflected behind.
The same player later dribbled into some shooting space to the right corner of the Reds’ area, though his scooped effort was catching practice for Bailey Hall.
Galatasaray’s goalkeeper smothered Kone-Doherty at the end of a counter-attack, before they somehow escaped conceding a third time from the corner.
A strike from Bradshaw was saved and so was Kone-Doherty’s rebound yards out, then Emmanuel Airoboma was blocked at close range by Kahraman and Ege Arac.
Buyuk gloved out a firm half-volley from Liverpool substitute Scofield Lonmeni, who was next kept at bay by a late Galatasaray intervention from Oliver O’Connor’s pullback.
The lively Lonmeni also rasped a decent hit that was repelled by the ’keeper as a third evaded the Reds but was comfortably not needed.
In the final act of the encounter, Galatasaray’s Yasin Kasal was shown a straight red card for a high-footed tackle on Tyler Martin.
Team
Liverpool: Hall, Pitt, Airoboma (Upton, 83), Lucky, Ayman, Pinnington, Bradshaw (Lonmeni, 68), Nyoni, Sonni-Lambie (Martin, 90), Ahmed (O’Connor, 68), Kone-Doherty.
Unused subs: Cisse, Misciur, Clarke, M. Wright.
Next up
Another away trip awaits the Reds on matchday three of the Youth League, this time travelling to German outfit Eintracht Frankfurt.
That game is scheduled for a 1pm BST kick-off on Wednesday October 22.