The January 3 onslaught against Baga is feared to have killed hundreds, if not more, and destroyed thousands of homes, while the takeover of Monguno last weekend was seen as a major setback for the security forces.
Amnesty said yesterday that it received information from senior military officers and other sources indicating that defence officials were told about Boko Haram's plans to attack both towns but did not act on requests to send reinforcements.
Regarding Baga, Amnesty said troops in the town in the extreme north of Borno state reported a build-up of insurgent fighters in the area before the attack.
Islamist rebels also warned civilians about an impending strike and several hundred residents consequently fled, the group added, citing military and local sources.
A Monguno resident was quoted as saying that residents there were also warned about a looming Boko Haram offensive and that this information was passed on to the military but no action was taken.
"The misleading conclusions by Amnesty International could have been avoided if they had made meaningful efforts to verify the inciting allegations," Olukolade said in the statement.
It said that Amnesty's effort to use the activities of Islamists to find fault with the military's "counter-terrorism operations...Is inaccurate and unfair."
The military has repeatedly described Amnesty as an unreliable organisation with a political agenda.
Amnesty made similar accusations concerning an April 14 attack in Chibok, also in Borno, which saw Boko Haram kidnap more than 200 schoolgirls, sparking global outrage.
