Disney earlier this year rejected a request from Trian for a presence on the board.
It has described Perlmutter as having a longstanding personal agenda against CEO Bob Iger.
Rasulo, meanwhile, at one time was considered a potential successor to Iger.
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He had also served a stint as Chairman of the companys Parks and Resorts division.
Board elections are held at the companys annual shareholder meeting.
Trian owns about $3 billion in Disney stock.
The appointments of Darroch and Gorman will take effect on January 9 and February 5, 2024, respectively.
At last monthsNew York TimesDealBook Summit, Iger addressed the activist effort, which is in its second phase.
Theres a qualification level that is required to sit on the Disney board, Iger said at DealBook.
And the board makes decisions about whos qualified and who isnt qualified to be on the board.
But its not like weve got a number of empty seats Come on in, join the Disney board.
That agenda, the company said, may be different than that of all other shareholders.
Disney shareholders are not required to take any action at this time.
