You could use a rewrite rule with a query string match condition, such as:
RewriteEngine On
RewriteCond %{REQUEST_URI} ^/index.php$
RewriteCond %{QUERY_STRING} ^page=news&id=2366$
RewriteRule ^(.*)$ http://www.example2.com/news.php?name=23546 [R=301,L]
Checkout this blog page for more information on how this works.