The artillery fire came after clashes between Pakistani and Afghan security forces at the closed Chaman-Spin Boldak border crossing, where crowds were waiting to cross for the Eid al-Adha festival.
In his call with Lavrov, Pompeo also raised the issue of election security, the department said in a statement, as the United States readies for nationwide voting on Nov. 3.
Islamists say they never accepted bounties: ‘We’re nobody’s mercenaries’
Democrats in Congress have accused Trump of not taking intelligence information concerning soldiers' deaths seriously enough.
It was unclear how many US or coalition troops may have been targeted or killed under the Moscow program.
A spokesman for Helmand's governor said several rockets fired by Taliban insurgents landed close to the cattle market, killing 23 civilians.
Democrats said the report and Trump's denial were the latest evidence of the president’s wish to ignore allegations against Russia and accommodate President Vladimir Putin.
A Russian military intelligence unit linked to assassination attempts in Europe had offered rewards for successful attacks last year.
"It is intolerable, assassinating human rights defenders is a war crime in the context of armed conflict," the AIHRC said, adding that staff had previously been the target of attacks.