This Makkhali Gosāla … Nigaṇṭha Nāṭaputta … Sañjaya Belaṭṭhiputta … Pakudha Kaccāyana … Ajita Kesakambala leads an order and a community, and teaches a community. He’s a well-known and famous religious founder, regarded as holy by many people. When a disciple passes away, he declares that this one is reborn here, while that one is reborn there. And as for a disciple who is a supreme person, highest of people, having reached the highest point, when they pass away he also declares that this one is reborn here, while that one is reborn there
This sutta states that ajita declared where one will reborn after death
“When I had finished speaking, Ajita Kesakambala said to me: ‘Great king, there is no giving, no offering, no liberality. There is no fruit or result of good and bad actions. There is no present world, no world beyond, no mother, no father, no beings who have taken rebirth. In the world there are no recluses and brahmins of right attainment and right practice who explain this world and the world beyond on the basis of their own direct knowledge and realization. A person is composed of the four primary elements. When he dies, the earth (in his body) returns to and merges with the (external) body of earth; the water (in his body) returns to and merges with the (external) body of water; the fire (in his body) returns to and merges with the (external) body of fire; the air (in his body) returns to and merges with the (external) body of air. His sense faculties pass over into space. Four men carry the corpse along on a bier. His eulogies are sounded until they reach the charnel ground. His bones turn pigeon-coloured. His meritorious offerings end in ashes. The practice of giving is a doctrine of fools. Those who declare that there is (an afterlife) speak only false, empty prattle. With the breaking up of the body, the foolish and the wise alike are annihilated and utterly perish. They do not exist after death.’
But according to Dn2 ajita was a staunch materialist he even didn’t believe in afterlife so how could he say where one will reborn after death if he himself didn’t believe such a thing ?