Based on the average rating of 4.4 the restaurant is definitely worth to be tried.
You can also do your payment with a credit card. For those of you who prefer driving to Weinstube Mögle, there is parking spaces at Burgenlandzentrum in 568 meters of the restaurant.
With booking a table online you can avoid standing in the queue waiting to be seated, or you can just as well give them a call, their phone is (+49)0711853174,(+49)711853174.
Food may also be ordered on the website (http://www.weinstube-moegle.eu/) of the restaurant itself.
You are welcome to bring your own wine to the restaurant.