RNZ reports both players have been cited for dangerous tackles.
Cane stayed on the field after his incident in the 11th minute, which left Irish mid-fielder Robbie Henshaw unconscious, while Fekiota was yellow-carded for a head high tackle in the second half.
Cane is unavailable for this weekend's game against France after picking up a high ankle sprain in yesterday's game.
Fullback Ben Smith is also unavailable after breaking a finger.
Lock Patrick Tuipulotu is returning home for personal reasons.
No replacements will be brought into the squad.
The All Blacks were heavily criticised by Northern Hemisphere media for their tactics following the 21-9 win in Dublin yesterday.