The attacks cast doubt on the Nigerian government's claim that the jihadist group is on the back foot and may mark an end to a lull since April of Al-Barnawi's deadly attacks on military targets.
In the latest attack late Tuesday, Islamist fighters in pickup trucks raided and razed a military base in Kamuya village in Nigeria's ravaged Borno state.
Boko Haram "attacked the (military) base around 5:30 pm (local time) and the troops engaged them in battle," a military source from the town of Biu told AFP.
The jihadists were later pushed back after military reinforcements arrived 30 kilometres away from Buni Yadi in neighbouring Yobe state, said the military source.
The officer's account was corroborated by Mustapha Karimbe, a member of a local militia in Biu assisting the military in fighting Boko Haram.
"Boko Haram gunmen attacked Kamuya military barracks yesterday evening and burnt it down. They injured two soldiers," said Karimbe.