Omnisensual

Omnisensual describes the sensual attraction to all genders. Gender may play a role in one's attraction: one may or may not have gender preferences, or experience attraction towards different genders differently.

Its sexual counterpart is omnisexual, and its romantic counterpart is omniromantic.

History and Flag
It is unknown who coined the term omnisensual and when, however usage of the term can be found as early as 2018 on Tumblr.

The omnisensual flag was created by the Tumblr user beyond-mogai-pride-flags on 24/06/2018, after an anonymous user asked them if one already existed. Beyond-mogai-pride-flags stated that they designed the flag by modifying the existing omnisexual pride flag.

Resources

 * 1) https://beyond-mogai-pride-flags.tumblr.com/post/175217683590/hey-i-was-wondering-if-yall-know-of-any