Garces was at the heart of the two biggest rulings in the drawn series between the All Blacks and the British and Irish Lions.
He sent off New Zealand back Sonny Bill Williams in the second Test, which the Lions won, before seemingly being the key figure in a contentious late ruling in the drawn third Test in Auckland.
Referee Romain Poite appeared to act on Garces' advice when he ruled Lions hooker Ken Owens was accidentally offside, turning a kickable penalty to New Zealand into a scrum ruling.
Barnes' moment of Kiwi infamy came a decade ago when he allowed a French try which appeared to feature a forward pass in their World Cup quarter-final defeat of the All Blacks in Cardiff.