That's not a schematic. That's a PCB layout which gives you very little information.
If the original creator doesn't have a schematic, I'm not sure you're going to be able to reverse engineer the circuit.
But could piece together rhe parts parts your self.
You need a 555 to act as a clock to a shift register. Maybe some transistors for the LEDs. You should be able to find the individual peices, start drawing your own schematic, and ask questions in forums like this.