The phrase "fall under the administration" is correct and usable in written English.
It can be used when talking about certain topics that are controlled or regulated by a particular authority or organization. Example: All taxes in this country fall under the administration of the Internal Revenue Service.
These fall under the administration of CalTrans, the California State Department of Transportation.
All private schools in Turkey are subject to Law No. 625 and fall under the administration and inspection of MoNE.
Alternatively or in tandem, the UN may reach some sort of multilateral arrangement with the GCC to allow those with UN papers the right of entry into makeshift housing compounds which would fall under the administration and protection of the UN but subject of course to the host nations' local laws.
Universities fall under the administration of the Ministry of Education or provincial governments.
Even though the amphitheatre falls under the administration of the state, the symbolic impact of the closures is obvious and Marino said they left him feeling "very discouraged".
No doubt, one reason Mr. Al-Saroot walked away from IS, was the fact that the group is seeking to mould the next generation of people who fall under its administration in the tradition of its extreme brutality.
The PHA describes this curriculum in detail (both a fall largely under the program administration domain).
L. Paul Bremer III, chief of the occupation government, insisted that police training not fall under the military, but under his civil administration.
Traffic fatality rates have fallen sharply under the Bloomberg administration, though the 274 traffic deaths in 2012 were the most in four years.
The military budget fell sharply under the Obama administration, as the Iraq War wound down and a Republican-led Congress sought to reduce overall federal spending.
He also expressed confidence that despite impending budget cuts, employees can take heart that his department is working hard to increase revenue from oil and gas drilling that he said fell precipitously under the Obama administration.
