Search result page title at top of the browser

Here’s the issue we’re having on my client’s site..

She wanted search results to open in a new page/tab, so we set it up that way.
We are using the AJAX Search Pro search plugin instead of the default.
I already reached out to the plugin developer, and he says the issue is theme related and not the AJAX Search Pro plugin.

The problem..
When a search is submitted, the search itself works fine.
However, by looking at this screenshot you’ll see the issue.

The page title of the search results page displays “Home” – and she wants it to say “Search Results” instead.

I am using a child theme, so I tried entering the following code to the child theme’s functions.php (code that I found online -I am not a PHP programmer)..

/**
 * Modify the document title for the search page
 */
add_filter( 'document_title_parts', function( $title )
{
    if ( is_search() ) 
        $title['title'] = sprintf( 
            esc_html__( 'Search Results', 'my-theme-domain' ), 
            get_search_query() 
        );

    return $title;
} );
/**
 * Modify the page part of the document title for the search page
 */
add_filter( 'document_title_parts', function( $title ) use( &$page, &$paged )
{
    if ( is_search() && ( $paged >= 2 || $page >= 2 ) && ! is_404() ) 
        $title['page'] = sprintf( 
            esc_html__( 'Search Results', 'my-theme-domain' ), 
            max( $paged, $page ) 
        );

    return $title;
} );

But this didn’t work.
So I removed it from the child theme when I found it was not working.

Have you any suggestions?

Thank you.

Website: cinnsroadtrip.blog