The two men were abducted outside the American University of Afghanistan in Kabul, where they worked as teachers.
Jawed Basharat, Baghlan police chief's spokesman, says six other people were wounded in the attack in Dand Shabuddin, outside of Puli Khumri, the provincial capital.
Thousands of members of a religious party and other opposition groups have camped out in Pakistan's capital, demanding the resignation of Prime Minister Imran Khan over poor economic performance.
Afghanistan's national security advisor Hamdullah Mohib, a strong critic of earlier US-Taliban negotiations that excluded his government, said the Taliban no longer operate as a cohesive body and some commanders may have joined Daesh.
US Defense Secretary Mark Esper arrived in Afghanistan where stalled peace talks with the Taliban and persistent violent attacks by the insurgent group and Daesh militants have complicated the Trump administration’s pledge to withdraw US troops.
No group has claimed responsibility but the government is accusing Taliban insurgents of carrying out the attack.
The explosion, which witnesses said collapsed the mosque's roof, took place in eastern Nangarhar province in Afghanistan.
The investigation into US bombings at several drug-making facilities in western Afghanistan, found that 30 people died and four were wounded in the May 5 strikes, the UN Assistance Mission in Afghanistan said.
A bomb had been left in a motorcycle that detonated as a minibus of recruits for Afghan security forces passed, Nangarhar officials say. There has been no immediate claim of responsibility so far.
The Saudi-Iran feud risks spilling over into Afghanistan as both countries push for greater influence with competing groups in the war-torn country.
Taliban representatives said the militant group released three Indian engineers they had held captive. No confirmation from New Delhi and Afghan government as yet.
The conflict turns 18 Monday, meaning every single Afghan child now has known only war.
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