No, the synagogue we visit today, is not the former synagogue of the community before 1938. because this one was destroyed. The one we visit today, was the private synagogue of Wertheimer, who was -among others- chief Rabby of Hungary.
It is today part of the Jewish museum in Eisenstadt, which was founded in 1972 as one of the first Jewish museums after WW2 in Austria.
Link:
https://eisenstadteinstundheute.blogspot.com/2021/11/das-judentum-in-eisenstadt.html?m=1