There is a tech called Cybernetics. Only races with the Fertile ability can research it. The Mimot and Torians have this ability. The Cybernetics tech is part of a branch that follows Xeno Medicine that has 7 techs. All of them require the Fertile ability. Races without the Fertile ability will have the branch end at Xeno Medicine.
This is what the Terran branch looks like.
The Torian and Mimot branches look like these.


There is also a Cybernetic ability, a unit trait called Cybernetic and a promotion for leaders called Cybernetic. They are not related as much as many players think they are.
I did not find any place where the Cybernetic ability is used or required.
The unit trait called Cybernetic is available at the start of a game without restriction or a requirement.
The promotion for leaders called Cybernetic is unlocked by the Cybernetic tech but is not available to any unit that has the unit trait called Cybernetic. Since the Cybernetic tech is required, only races with the Fertile ability (Mimot and Torian) can use the Cybernetic promotion.
For all the details, check the Data\Gameplay directory for the following files:
Ability.xml
LeaderActionDefs.xml
LeaderTraitDefs.xml
MasterTechDefs.xml
Check the Data\English\Text directory for the following files:
AbilityText.xml
LeaderActionText.xml
LeaderTraitText.xml
MasterTechDefsText.xml