I found out Batija very recently and I was pleasantly surprised. The restaurant, if we can speak of a local, is located on the beach next to the Cesenatico pier. There is nothing special about this strip of sand that extends to the sea and offers two counters where a drink is served, one common fund and a place on the sand to dance. End.
Here you can find really many young who roam this beach from aperitif time until late at night looking for a chat or… something more. The place is devoid of anything, you will not find chairs, sofas, bathrooms, just sand and cocktails. There music is really beautiful, it's worth it even just for that and the prices are not disco, but rather affordable: a mojito is € 7, a bucket of mojito or other crushed is 30 € while a beer 6 €.
THEaperitif is rather scarce and you do not eat particularly, so if you want to have an aperitif this is not the ideal place, but you should go and do the background first in the local lari of Cesenatico and then go back to have fun. L'admission is free ;)