The phrase "demand recognition" is correct and usable in written English.
You can use it when you want to express a desire for respect or acknowledgement. For example, "The CEO demanded recognition for the hard work of her team."
Then she pleaded for the tribes to come together and demand recognition of atrocities.
They will expect and demand recognition of their leadership wherever they may be.
The chefs were the first to step forward and demand recognition, not as skilled technicians, but as artists.
His offer to bring the Yugoslav communists in from the cold was not accepted, since the wily Tito knew that Moscow would also demand recognition of its hegemony.
Despite these flaws, however, the completeness of the treatise, its serviceable if not scientific order, and its powerful and lucid exposition demand recognition.
With new and increasing opportunities to make our voices heard, to take direct action, we must seize the gathering momentum to ensure that all black lives matter equally, and in doing so demand recognition of the fact that #AfricanLivesMatter too.
Even as Libyans died, Colonel Qaddafi demanded recognition that he alone had made them relevant.
Basking in the youthful stage, and no longer quite as much threatened, it demands recognition.
But now the militia's renegade leader, Ibrahim "IB" Coulibaly, is demanding recognition of his role in overthrowing Gbagbo.
In West Africa, a famous presence demands recognition, so the resident highlife band swiftly shifted into an impromptu praise song.
As Mr. Cuomo finished speaking, Mr. Sliwa, wearing a sign that said "King Cuomo II," began loudly demanding recognition.
