The honor went to her modern holiday classic "All I Want for Christmas Is You."
The only other songwriters to achieve this feat each did it more than 50 years ago.
The program will weave together artist-fan experiences with live components from the show in Los Angeles in a first-of-its-kind format.
Rascal Flatts, George Strait, Garth Brooks and Merle Haggard are also in the ACM Awards record book.
The final nominees for the May 11 ACM Awards were announced Thursday and there were a handful of headscratchers.
Women account for three of the five nominees for album of the year.
The prestigious honor will be presented at the 2023 APRA Music Awards, to be held April 27 at ICC Sydney.
"Here’s to adding some uptown flavor to the magic of the Tony Awards!” DeBose said in a statement.
The singer will be presented with the excellence in media award for her work in making "a significant difference in promoting acceptance of LGBTQ people."
The induction of “Sweet Dreams (Are Made of This)” is the third major accolade for Eurythmics in the past year.