(CNN) The new Afghan Taliban leader has told commanders and the group's supreme leadership council that there will be no peace talks with the Afghan government, a source in the group reached through an intermediary said Wednesday.

The source said that Mawlawi Haibatullah Akhundzada, newly appointed to lead the terror group after a U.S. drone strike killed Mullah Akhtar Mohammed Mansour, will follow the militant policies espoused by founder Mullah Omar, who was killed in Pakistan in 2013.

The source said that the appointment of Akhundzada "will bring back the era of Mullah Mohammad Omar," referring to the one-eyed mujahedeen commander who led the group from its inception in 1994, with "a simple life, loyalty, and terror on enemies."

The Taliban has made strong battlefield gains against government forces in recent months, driving back Afghan troops from key positions and launching a string of bombings in Kabul.

On Wednesday, as the new leader was announced, the group claimed responsibility for a suicide bombing in the capital that killed 10 people and injured four others, including two children.

However, Sayed Mohammad Akbar Agha, a founding member of the Taliban who lives in Kabul and says he knows the new leader, told CNN that Akhundzada is an educated and well-respected man, with more clerical and judicial experience than military, and brokering a peace with him could be easier than with Mansour.

Natural choice

Mawlawi Haibatullah Akhunzada, named the new Afghan Taliban leader.

The new Taliban leader belongs to the Noorzai tribe and is in his late 50s -- although the Taliban claim he is 47 years old -- and hails from the Taliban heartland in the Panjwai district of southern Kandahar province, according to Agha.

He became Mullah Mansour's deputy when Mansour succeeded Mullah Omar , and subsequently took an active part in the day-to-day running of the movement, playing a key role in negotiating a ceasefire with a dissident Taliban faction earlier this year.

The senior religious cleric, who hails from its founding generation and was active in the 1980s mujahedeen struggle against the Soviet invasion in the 1980s, is seen as a uniter and his appointment shows the Afghan militant group hopes it will avoid succession disputes, analysts say.

Mullah Omar's presence looms large

Along with the stated desire to return to the hardline policies of the group's founder, a statement announcing his appointment also names Mullah Omar's son, Mawlawi Mohammad Yaqoob, in a deputy role.

"(Akhundzada) was already the senior deputy to Mullah Mansour. It's a clever choice because he is a religious scholar from the founder generation of the Taliban, and was close to Mullah Omar," said Ruttig.

"He may therefore be able to integrate the younger and more militant generation," he said.

"The Taliban understood that they needed a new consensus leader, and quickly, to prevent what was possibly the aim of the U.S. and Afghan governments -- to create turmoil around the succession."

Photos: The Taliban The Taliban, a Sunni Islamist organization operating primarily in Afghanistan and Pakistan, was formed in 1994. It was led by Mullah Mohammed Omar, a veteran of the Afghan mujahedeen that fought invading Soviets from 1979-1989. Omar, seen here in an undated video image, died in April 2013 , according to a representative for Afghan President Ashraf Ghani. Hide Caption 1 of 16 Photos: The Taliban In this image taken off television by BBC Newsnight, Omar -- fourth from left -- attends a rally with Taliban troops before their victorious assault on Afghanistan's capital, Kabul, in 1996. The Taliban's aim is to impose its interpretation of Islamic law on Afghanistan and remove foreign influence from the country. Most of its members are Pashtun, the largest ethnic group in Afghanistan. Hide Caption 2 of 16 Photos: The Taliban Tanks manned by Taliban fighters are decorated with flowers in front of the presidential palace in Kabul on September 27, 1996. Hide Caption 3 of 16 Photos: The Taliban Taliban soldiers in Russian-made tanks fire on the forces of former Afghan defense minister Ahmad Shah Massood in October 1996. Hide Caption 4 of 16 Photos: The Taliban Afghan women in Kabul are covered head to toe in traditional burqas on October 16, 1996. After taking over Kabul, the ruling Taliban imposed strict Islamic laws on the Afghan people. Television, music and non-Islamic holidays were banned. Women were not allowed to attend school or work outside the home, and they were forbidden to travel alone. Hide Caption 5 of 16 Photos: The Taliban Three women hitch a ride on the back of a donkey cart as they pass by the ruins of Kabul's former commercial district in November 1996. Hide Caption 6 of 16 Photos: The Taliban This is an undated image believed to show the Taliban's former leader, Mullah Mohammed Omar. In 1997, the Taliban issued an edict renaming Afghanistan the Islamic Emirate of Afghanistan. The country was only officially recognized by three countries: Pakistan, Saudi Arabia and the United Arab Emirates. Hide Caption 7 of 16 Photos: The Taliban In 1997, Omar forged a relationship with al Qaeda leader Osama bin Laden, pictured. Bin Laden then moved his base of operations to Kandahar, Afghanistan. Hide Caption 8 of 16 Photos: The Taliban In March 2001, Taliban soldiers stand at the base of the mountain alcove where a Buddha statue once stood 170 feet high in Bamiyan, Afghanistan. The Taliban destroyed two 1,500-year-old Buddha figures in the town, saying they were idols that violated Islam. Hide Caption 9 of 16 Photos: The Taliban After the 9/11 attacks, the United States conducted military strikes against al Qaeda training camps and military installations of the Taliban regime. In this long-exposure photo, a U.S. Navy fighter jet takes off from the deck of the USS Enterprise on October 7, 2001. Hide Caption 10 of 16 Photos: The Taliban An Afghan anti-Taliban fighter pops up from his tank to spot a U.S. warplane bombing al Qaeda fighters in the Tora Bora region of Afghanistan on December 10, 2001. After massive U.S. bombardment as a part of Operation Enduring Freedom, the Taliban lost Afghanistan to U.S. and Northern Alliance forces. Hide Caption 11 of 16 Photos: The Taliban Afghans look into Omar's bedroom as they go through his compound on the outskirts of Kandahar on December 11, 2001. Hide Caption 12 of 16 Photos: The Taliban In April 2011, hundreds of prisoners escaped from a prison in Kandahar by crawling through a tunnel. The Taliban took responsibility for the escape. This picture shows a general view of the prison, top center, and the house, bottom right, from which Taliban militiamen dug the tunnel leading to the prison. Hide Caption 13 of 16 Photos: The Taliban Security guards stand outside the new Taliban political office in Doha, Qatar, before its official opening in June 2013. The Taliban announced that they hoped to improve relations with other countries, head toward a peaceful solution to the Afghanistan occupation and establish an independent Islamic system in the country. Hide Caption 14 of 16 Photos: The Taliban Zafar Hashemi, deputy spokesman for Afghan President Ashraf Ghani, speaks during a news conference on July 29, when the news of Omar's death was announced. Hide Caption 15 of 16 Photos: The Taliban Mullah Akhtar Mohammad Mansour became the leader of the Taliban after Omar's death. Mansour was killed in an airstrike in Pakistan on Saturday, May 21, 2016 Hide Caption 16 of 16

Secret Shura meetings

The source described two secret meetings of the Shura (or supreme leadership) council of the Taliban's self-declared Islamic Emirate of Afghanistan that were held on Saturday and Tuesday, saying that at the first meeting the members initially favored Sirajuddin Haqqani, the leader of Haqqani terror network , long aligned with the Taliban and al Qaeda, to be the Taliban's new leader.

On Tuesday, according to the source, Haqqani rejected the leadership position in favor of Akhundzada.

The statement announcing Akhundzada's accession also named Haqqani as a deputy.

Haqqani, who has a $10 million U.S. State Department bounty on his head , leads an extensive family-based criminal network based primarily in North Waziristan, Pakistan. It held captured U.S. soldier Bowe Bergdahl before he was repatriated in a prisoner swap.

Ruttig said the deputies represented the younger, more militant generation of the organization, which the Taliban was likely seeking to better integrate through their appointments.

Yaqoob's selection could help boost the Taliban's legitimacy in its southern Kandahar heartland, while Haqqani's appointment could have the same effect in the network's center of gravity in the east, he said.

Obama: Wasn't expecting a "liberal" replacement

U.S. President Barack Obama, when asked about his thoughts on the new leader, said sarcastically, "As I was saying to my team, I wasn't expecting a liberal Democrat to be the new leader of the Taliban."

Speaking to reporters during the G7 summit in Ise-Shima, Japan, Obama added that the Taliban "continues to be an organization that sees violence as a strategy for attaining its goals," but that the United States continues to ensure that the democratic process in Afghanistan is upheld and that "we're able to maintain the counter terrorism platforms."

Obama said he hopes but doesn't expect that there will come a point at which the Taliban -- or at least the "community that surrounds" it -- recognize their goals are best achieved through dialogue with the Afghan government.

Pakistan: Mansour death undermines peace

Pakistan's Ministry of Foreign Affairs released a statement confirming Mansour's death and reiterating its position that the drone strike that took out the leader was a violation of the country's sovereignty, "as well as breach of the principles of the United Nations Charter governing the conduct of the states." The statement also says that the ministry has conveyed its concerns to the United States.

It also says Pakistan believes the death of Mansour has further endangered an already fragile peace process, and "will further destabilize Afghanistan, which will have negative implications for the region.

"In our view there is no military solution to the conflict in Afghanistan. The use of force for (the) past 15 years has failed to deliver peace."