A threaded Joe Upton pass into the Leeds box was an invite for the run of Mabaya, whose shirt was clearly tugged by Lane.
The referee pointed to the spot and Wright took the responsibility, confidently clipping his kick into the bottom left corner.
The Reds sensed the game was there to be won, too, and they duly made that wish reality 12 minutes from the end.
Centre-back Wellity Lucky embarked on a brilliant run almost half the length of the pitch and moved the ball on to Joe Bradshaw.
The latter produced an outside-of-the-boot pass from the left channel into the Leeds area and there was Wright to dispatch an unerring first-time shot.
That piece of quality proved enough for all three points as Liverpool saw out their 2-1 advantage to the full-time whistle.
Team
Liverpool: Hall, Mabaya, Chambers (Cisse, 62), Pitt, Lucky, Upton (Onanuga, 82), O’Connor, Laffey, W. Wright, Danns (Sonni-Lambie, 46), Figueroa (Bradshaw, 75).
Unused subs: Ayman, M. Wright.
Goals: W. Wright (67, 78)
Next up
The Premier League 2 schedule takes the Reds to West Ham United on Monday September 14.
Kick-off at Rush Green will be 7pm BST.