"Social" in this context refers to psyche (or adjective psychic) as you found out with help of French. If one reads the Wikipedia article, one realises, that it's more a question of manipulating minds rather than mining ore, building and maintaining machines or other engineering activities. So I would say psika manipulado.
Addendum 2021-01-07
I like Eduardo's suggestion of menso for the object of the manipulation, so I revise my answer to mensa manipulado. And if you need to express that it concerns technics for or study of the manipulation:
- tekniko por mensa manipulado
- studo de mensa manipulado
and so on