http://www.azuca.net/azuca/ and https://azucasaborlatino.com/
These two websites do not point to each other at any point. The domain for the first website appears registered by the restaurant themselves, pointing to nameservers belonging to Dine Online - which looks like a marketing/web dev firm.
The second domain is registered by EatStreet.
Now, it seems likely to me that Azuca and EatStreet have some working relationship, most probably the same sort of relationship restaurants have with GrubHub or Seamless.
The problem here is language. EatStreet's page does not make it clear at all that this is a third party, and in fact seems to go out of its way to insinuate that this is in fact the official website for the restaurant. This seems like trademark infringement to me, but IANAL.
Sketchy, to say the least.
Tarascos Mexican Restaurant
Lemon Poppy Kitchen
La Luna Negra
These posters will not be able to validate their identity.
This is as standard and common pattern these days which is identified fairly easily.
The other point I would point out is that ordering online does not require working with a restaurant. Many of these delivery services are "hacking" delivery by becoming the delivery provider. They just order on your behalf, pick up the food, and drive it to your home regardless of whether the restaurant offers that option or not.