Three verbs with similar meanings:

> The role of John The Baptist of the New Testament **echoes/recalls/evokes** that of Elijah the Prophet of the Old Testament.

**echo** (v.)

> To repeat details that are similar to, and make you think of,
> something else:
> 
> *The design of the church **echoes** that of St. Paul's Cathedral*.    
>[Cambridge][1]

**recall** (v.)

> To cause you to think of a particular event, situation, or style:
> 
> *His paintings **recall** the style of Picasso.*  
>[Cambridge][2]

Perhaps slightly weaker is

**evoke** (v.)

> To cause something to be remembered or expressed  
>[Cambridge][3]
 
> First, John's initial physical description in chapter 3 **evokes**
> Elijah.  
>[Kendra Mohn; *Masculinities in the
> Gospel of Matthew Joseph, John, Peter, and Judas*][4] (2024)

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If you are writing (even a speech or presentation), I would avoid the informal **group genitive**: "[John The Baptist of the New Testament]'s role" because it can be (mis)read as  the role of the New Testament. We get away with this construction in speech when we start a sentence, paint ourselves into a corner, and use the group genitive to save us from restarting and rephrasing. But we should always rewrite to avoid something like "The boy I saw on the corner yesterday's father is my professor."


  [1]: https://dictionary.cambridge.org/us/dictionary/english/echo
  [2]: https://dictionary.cambridge.org/us/dictionary/english/recall
  [3]: https://dictionary.cambridge.org/us/dictionary/english/evoke
  [4]: https://www.google.com/books/edition/Masculinities_in_the_Gospel_of_Matthew/py_yEAAAQBAJ?hl=en&gbpv=1&dq=john%20the%20baptist%20evokes%20elijah&pg=PA96&printsec=frontcover