The kit comes with software containing a wifi or bluetooth app. Look in your kit software folder. The steering used is skid steering (drive one wheel, drag the other).
The microcontroller (probably Arduino Uno) is your control circuit.
That is all your choice. I would first build the kit.
Here's the kit. There is no circuit board of any kind with the kit. There is no software.
I have built the kit with a breadboard ATMega328. Controlling the motors is done: I'm just trying to figure out what I need for a remote control (hence why I asked the community "What do you use?").
Take a search engine of your choice and ask the WWW for '4wd robot car kit +arduino' to collect some data to be sorted out to get the needed information.
You could make your own controller. This will allow you to expand on your current design or help you with others down the road.
You could also look into premade Arduino controller apps (of which, I don’t know as I don’t use them)
The easiest option (imo) would be to use a PS2 controller with an Arduino interface board. You can find them for cheap on AliExpress. Or simply buy the female connector for the remote dongle and wire it yourself. It’s fairly easy to do and there are plenty of wiring diagrams follow and examples to play with.
For informed suggestions, please post the details: the code, using code tags, a wiring diagram (hand drawn is preferred, with pins and connections clearly labeled) and links to the motor controllers and sensors.
You are asking forum members how to add remote control to "something that works", but forgot to tell them anything at all about the "something that works", except that it has motors and wheels.