The phrase "again the object of" is correct and usable in written English.
It can be used when referring to something that has been the focus or target of attention or action multiple times.
Example: "The committee has, again the object of scrutiny, failed to address the concerns raised by the community."
Alternatives: "once more the focus of" or "repeatedly the target of".
Oh, to be young and an awesome slugger again, the object of widespread admiration and appreciation.
Ms. Munson is once again the object of an artist's gaze.
Mr. Steuerman is now a wild card in a 20-year-old mystery, his past and his relationship with the Tankleffs once again the object of scrutiny.
Three years later, he was once again the object of lust, but in a more challenging role as the Italian hunk in "The Light in the Piazza".
Not too long ago, they recall wistfully, they made the scooter once again the object of European desires, introducing a flurry of sexy new two-wheeled vehicles to outfox Japanese competitors who had almost driven them out of business.
When I was there a year ago, however, it took quite a lot of maneuvering to arrange a visit, as the area is once again the object of a developer's dreams.
Nothing you say will overcome your son's strong impulse to reach out (again and again) to the object of his affection.
March 2007 The couple's public misdemeanours once again become the object of intense media attention.
But the real boom in Fichte studies has come only in the past four decades, during which the Wissenschaftslehre has once again become the object of intense philosophical scrutiny and lively, world-wide discussion as is evidenced by the establishment of large and active professional societies devoted to Fichte in Europe, Japan, and North America.
Nevertheless, we've once again found the object of our affection in a foreign city, as ugly it might be.
During Margerie's hospital stay, Lowry wrote her letters about how happy he was in Ripe now; of working steadily again; of being the object of competition between their landlady and the vicar's housekeeper, who gave him his meals.
