The decision came after Pakistan PM Imran Khan held a discussion with the National Security Committee to discuss several security issues in view of the ongoing situation in Afghanistan.
Islamic State has carried out relentless assaults on the country's Shiite Muslims since emerging in eastern Afghanistan in 2014.
Afghanistan was already among the world's worst humanitarian situations prior to the Taliban assuming power in August, which has deepened existing needs and vulnerabilities.
Most girls around the country have been barred from attending secondary school, and most women have been unable to return to work.
The extremist group has ramped up attacks since the Taliban consolidated power following the U.S. exit.
Suhail Shaheen, the Taliban spokesman, said that since the former government of Afghanistan has collapsed, its envoy cannot represent Afghanistan, it said.
The order by Taliban Prime Minister Hasan Akhund followed recent public statements by Taliban officials hinting at plans to improve organisation and marshal fighters.
Legislation in US Senate seeks report on Pak's role in Taliban offensive, Islamabad says move 'unwarranted'
The Taliban swept across Afghanistan last month, seizing control of almost all key towns and cities in the backdrop of withdrawal of the US forces that began on May 1.
Speaking alongside Gen. Mark Milley, chairman of the Joint Chiefs of Staff, Austin also questioned decisions made over the 20-year course of the US war in Afghanistan.
'As an immediate neighbour, we are naturally concerned about the recent changes within Afghanistan and their implications for us and the region,' Foreign Secretary Harsh Vardhan Shringla said.
Namony's comments were another sign that the Taliban are enforcing their harsh interpretation of Islam, including restrictions on women in public life, despite their initial promises of tolerance.
And for thousands of US officials and volunteers working around the world to place Afghan refugees, there is still no rest.
According to video clips shared on social media by journalists and other people, the Taliban used tear gas to disperse the all-women protest after they failed to do so after gunshots.
The insurgent group was expected to announce on September 4 the formation of the new government in Kabul, likely to be led by the outfit's co-founder Mulla Abdul Ghani Baradar.
The Taliban leadership had its headquarters in Pakistan and were often said to be in direct contact with the powerful Inter-Services Intelligence agency.