With what help to implement a mobile application based on the site?

Question

Android

Hello! I was faced with a task - I need to implement an application that would take content from my site and display it in a user-friendly form. I don't want to use automatic "builders" of web applications for mobile platforms, because, as far as I understand, they simply generate something like a browser that only has access to the mobile version of the specified site. For now, I just assume that you need to connect a set of services (API) and do the whole thing based on it. At the same time, the application for android will be written in Java.
The site is on a VPS server with ubuntu + nginx + php7.0-fpm + MySQL configuration.
Website CMS: DataLife Engine (DLE)
The question itself is: in which direction should I look to achieve my goal? Are there any "buns"

Answer 1

because, as far as I understand, they simply generate something like a browser, in which there is only access to the mobile version of the specified site.

No. If you write yourself, you yourself distribute the location of the content or the incremental update of static content in the application, and so on.
PhoneGap or React-Native are the two best choices for your task.