Huthi rebels blamed a Riyadh-led military coalition for the twins' deaths.
The academy was a military installation where cadets received training to become intelligence operatives and conduct military operations.
Myanmar’s civilian administration last week called on the military to 'crush' the rebels.
Syria's conflict has left more than 360,000 people dead and displaced millions.
A pro-government official said that the loyalists were surprised by reports of a port handover.
The official says the Huthi rebels began to pull back from the Red Sea port at midnight (2100 GMT Friday).
The Tatmadaw, the military's Myanmar name, said their soldiers in Shan state were attacked by Shan State Army (SSA) troops.
All six rebels belonged to Ansar Ghazwat-ul-Hind, a small Kashmiri rebel group.
The conflict has also pushed 14 million people to the brink of famine.
Both Yemeni parties have threatened to leave the talks if certain demands are not met.
The killings, if confirmed, would mark the deadliest bout of violence in years to hit the region.
More than 400 combatants have been killed in 10 days of clashes in Hodeida.
Medics at hospitals inside the city reported 47 rebels had been killed in overnight ground fighting and air raids by a Saudi-led coalition supporting the government.
53 Huthi rebels have been killed and dozens wounded in battles and air strikes over the past 24 hours.
The civil war has killed more than 360,000 people and forced millions to flee their homes since it erupted in 2011 with the brutal repression of anti-government protests.
Syria's war has killed more than 360,000 people since starting in 2011 with the brutal repression of anti-government protests.
All rebels in the demilitarised zone must withdraw heavy arms by Wednesday, and radical groups must leave by October 15.
The incidents in northern Tangdhar area, near the heavily militarised Himalayan frontier dividing the nuclear-armed neighbours, could not be independently verified.
A total of 32 insurgents were killed and 14 others wounded in clashes and air strikes since Saturday.
The Huthis' Supreme Revolutionary Council said Friday that they were increasingly suspicious that the coalition intended to insult the rebels.
Moscow's accusation comes after Washington said it will respond "very strongly" if Syrian President Bashar al-Assad uses chemical weapons in an offensive to retake Idlib.
President Rodrigo Duterte last signed the new autonomy legislation, called Bangsamoro Organic Law, allowing self-rule for Muslims in 2022.
There would be further negotiations on a deadline for handing over medium and heavy weapons, according to the agreement sent by the rebel source.
Hundreds of Syrian rebels and their relatives left the southern city of Daraa under a deal to bring the city under government control.