Farrell blow for B&I Lions
He will be replaced on the bench by Wales fly-half Dan Biggar.
Munster and Ireland's Peter O'Mahony will take over as captain for a match the tourists regard as an "unofficial fourth Test".
Warburton led the Lions to a disappointing 22-23 loss to the Highlanders midweek and coach Warren Gatland opted instead to hand flank O'Mahony the skipper's armband.
Leigh Halfpenny replaces the injured Stuart Hogg at fullback, while Liam Williams makes way for Anthony Watson on the wing.
However, lock Wyn Jones, who captained against the Crusaders, did not even make the matchday 23, with Gatland preferring England's Maro Itoje in the second row backed by Iain Henderson on the bench.
British and Irish Lions – revised: 15 Leigh Halfpenny, 14 Anthony Watson, 13 Jonathan Davies, 12 Ben Te'o, 11 George North, 10 Jonathan Sexton, 9 Conor Murray, 8 Taulupe Faletau, 7 Sean O'Brien, 6 Peter O'Mahony (captain), 5 George Kruis, 4 Maro Itoje, 3 Tadhg Furlong, 2 Jamie George, 1 Mako Vunipola.
Replacements: 16 Ken Owens, 17 Jack McGrath, 18 Kyle Sinckler, 19 Iain Henderson, 20 Sam Warburton, 21 Greig Laidlaw, 22 Dan Biggar, 23 Elliot Daly.
Date: Saturday, June 17
Venue: International Stadium, Rotorua
Kick-off: 19.35 (08.35 UK & Ireland time; 07.35 GMT)
Referee: Jaco Peyper (South Africa)
Assistant referees: Jérôme Garcès (France), Romain Poite (France)
TMO: Ian Smith (Australia)
@lionsofficial & Agence France-Presse