The shopping list recovered from the suspects contains cartons of Viagra, used for treating erectile dysfunction.
Troops of the 112 Task Force Battalion were said to have intercepted the suspects as they tried to cross from Anadawa village to Minari, Borno state, on motorcycle.
It was gathered that the soldiers trailed the suspected terrorists to Anadawa and opened fire on them after realising they were armed.
The report said the suspects died on the spot as troops recovered two FN rifles and 18 rounds of 7.62MM NATO ammunition from them.
A three-page shopping list was also recovered from them.
The list was said to have contained an order for massive consignments of drugs and other medical supplies.
Some of the drugs said to be listed on the shopping list included cartons of Viagra, used for treating erectile dysfunction, and MMC Sex Men, a known libido enhancer.
Also listed for purchase were three cartons of Maxman coffee enhancer for men as well as Viamax power coffee, known for increasing sexual desire in men, the report said.
The terrorists also placed an order for capsules that could be used to treat Gonorrhoea, and various kinds of injectables ranging from oxytocine to anti-tetanus.
The Nigerian Army had in 2015 said that condoms, hard drugs and sex-enhancing drugs were usually found in camps captured from Boko Haram by the troops fighting the terrorists in the north east.