American Mutoscope and Biograph production logs indicate the footage was shot January 14, 1900 by C. Fred Ackerman.  

C. Fred Ackerman, "Li Hung Chang Interviewed," Frank Leslie's Weekly, February 9, 1901. Ackerman dates the article as November 19, 1900, but does not say when the interview occurred. But he writes that the interview took place on the day the AM&B recording was shot, showing Li looking at the mutoscope pictures of himself in New York in 1896. 

Niver lists production date as 1901, cameraman Raymond Ackerman. According to Wikipedia, Ackerman used both names (Carl Frederick and Raymond). https://en.wikipedia.org/wiki/C._Fred_Ackerman 

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The Library of Congress catalog and Kemp R. Niver, Early Motion Pictures: The Paper Print Collection in the Library of Congress (1985) describe the original the film this way: 

            "A Chinese dignitary and aide in the courtyard of the Palace of Roses watch the demonstration of the viewing device manufactured by the American Mutoscope & Biograph Company. Li Hung Chang was known as the 'Grand Old Man of China' and cooperated with General Gordon in suppressing the Taiping rebellion. At one time in his career, he became Grand Chancellor. When Li Hung Chang visited his country in 1898 [sic; correct date is 1896], a moving picture was made at Grant's Tomb. This view shows him looking at it through a Parlor Mutoscope."

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The AFI Catalog entry: 

            Chinese general and diplomat Li Hung Chang relaxes at the Palace of Roses, his summer home, in Peking, China. He is interviewed by a war correspondent, on the occasion of the presentation of a Parlor Mutoscope, containing a moving picture that was taken of him at Grant's Tomb, New York City, in 1896. 
            The Biograph catalog described the film as follows: “The Grand Old Man of the Orient, Li Hung Chang, at the Palace of Roses, his summer home, in Pekin. He is interviewed by a war correspondent, on the occasion of the presentation of a Parlor Mutoscope, containing a moving picture of Li Hung Chang taken at Grant’s Tomb, New York City.”

            During Li Hung Chang's 1896 visit to America, American Mutoscope filmed him for three titles: Li Hung Chang at Grant's Tomb, Li Hung Chang Driving Through 4th Street and Broadway [New York City] and Li Hung Chang, 5th Avenue & 55th Street, N.Y. (1896, see entries). This 1901 film is one of two titled Li Hung Chang, in which he watches himself on the Parlor Mutoscope. 

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Research paper by Ma Luyao, New York University, May 2017. 

CCTV/CNTV subtitles and voiceover added for the documentary The Revolution of 1911, episode 1, "1911: Rereading Xinhai."  Video posting, Feb. 24, 2017, https://www.bilibili.com/video/BV1rx411y7Wd/?spm_id_from=333.788.recommend_more_video.15. 

Also, 2006年辛亥革命95週年特輯：【1911再讀辛亥】（一）晚清回看 1/4 [Special Edition of the 95th Anniversary of the Revolution of 1911 in 2006: [Rereading Xinhai in 1911] (1) Review of the Late Qing Dynasty], YouTube, uploaded by Jack11102009, Oct. 18, 2011, www.youtube.com/watch?v=vj8BpHgSwHU