The phrase "administrations of the two" is not correct and lacks clarity in written English.
It could be used in a context where you are discussing the management or governance of two entities, but it needs more specificity.
Example: "The administrations of the two countries have agreed to collaborate on environmental issues."
Alternatives: "governments of the two" or "leadership of the two".
The political analyst Brice Teinturier believed that the disappointing administrations of the two previous Presidents had led to the rise of a powerful group of voters, whom he christened the PRAF Party.
The Great Triangulator provided seamless continuity between the administrations of the two Bushes in systematically dismantling the proven regulatory system, introduced by President Franklin D. Roosevelt, that saved capitalism from itself during the Great Depression.
Though the king of Spain was able to seize both crowns in the 16th century, the administrations of the two halves of the Kingdom of Sicily remained separated until 1816, when they were reunited in the Kingdom of Two Sicilies.
A shorter time interval between the administrations of the two tests also yields a better agreement.
An interval of one hour was allowed between administrations of the two questionnaires.
Finally, we investigated whether the time elapsed between the administrations of the two tests influenced the agreement.
This week, pink slips were due to go out to about 2000 scientists in the administrations of the three merging academies.
First, we were limited because most administrations of the three assessments did not collect country of origin information from immigrant pupils.
We do not include other macro-level factors as moderators, as the information available in most administrations of the three tests is limited, namely, information on the origin country of immigrant pupils is not available.
Thus, simultaneous administration of the two vaccines is an option in herds with both PRRSV types.
It was the beginning of a long and notable career in the administration of the two Sheffield clubs.
