That technique which Naruto used has no special name, not even at Wikia.
It is stated that :
Toneri took Hinata to the Room of Rebirth, letting his puppets to deal
with Naruto. As they arrived at the Room of Rebirth and Naruto went
after them, Toneri controlled Hinata to attack Naruto only for him to
render her unconscious by taking the green chakra sphere out of her
body. After Naruto took out the green sphere, Toneri took her back
However, the technique which Toneri Ōtsutsuki used, it is called Puppet Cursing Sphere.
It can control, read minds and also has other functions.
It is also mentioned at Wikia article on Toneri Ōtsutsuki :
Toneri moulds his chakra into the form of a green-coloured sphere. The
sphere can be used various purposes such as controlling targets by
sending it into their body, reading their minds, absorbing chakra from
a distance, checking if a target has a dormant Ōtsutsuki chakra, and
detonating the orb if needed.