SHINDAND, Afghanistan—The Afghan government is giving financial and military support to a breakaway Taliban faction, according to some Afghan and U.S. coalition officials, in an effort to sow rifts within the insurgency and nudge some of its leaders toward peace talks.

The effort comes as the U.S. military conducted an airstrike inside Pakistan that American officials said likely killed Taliban leader Mullah Akhtar Mansour, potentially setting the stage for another leadership struggle that could fragment the group further in the coming days. The Taliban, which usually respond promptly to requests for comment, hadn’t issued a statement by late Sunday.

Senior Afghan and U.S. diplomatic, military and intelligence officials, including several who had roles in creating the program, described its details and said that resources provided by the U.S. were used to support it.

The Afghan intelligence agency is leading the drive to recruit new Taliban assets, Afghan and U.S. officials said. The agency relies on the U.S. for most of its funding and is still mentored by the Central Intelligence Agency. The CIA declined to comment for this article.

Despite billions invested in reconstruction, Afghanistan still relies on aid for most of its funding and the U.S. pays more than $4 billion a year for its security forces.