You have a 2 channel esp-01 controlled relay board. Did this come preloaded with code that responded to an Android app? Maybe like this :-
I assume that you have replaced the preloaded code with the ESP8266_Control_Relay.ino sketch.
Looking at your graphic for the unit I see that it has a STM8S103 multi-purpose 8-bit microcontroller on board!
SO I would speculate that the STM8S103 is controlling the relays and that the ESP-01 is acting as a wifi modem.
Therefore you are going to need to find out what the ESP-01 needs to pass the the microcontroller to switch the relays. NOT A EASY TASK!
If I remember correctly a similar unit required a quad 2 byte packet to switch the relays. Why a quad 2 byte packet I hear you ask? Is it because the protocol is designed to handle more than just 2 relays, perhaps an array of tens or even more?
You may be able to glean some pointers from this:-
You would save time and grief if you ditched the board and bought a simple 2 channel board and controlled it from a NodeMcu.
Or my preferred solution, which is use a Wemos D1 mini with 2 D1 mini relay modules and mount them on either a double or triple base.