Please describe the circuit's operation. Among other things, what is its "rest" condition and what is its "triggered" output? Is there anything physically between the LED and phototransistor?
It's a photogate detector with 2 diodes an emitter and a detector, so when a fast object is moving between the diodes it triggers the SCR the rest condition is with no obstructions between the diodes.
The circuit may work from 6 V as it is. Give it a try.
You may need to reduce the 470 Ω to keep the LED current at the designed value. Depending on the pass voltage of the LED (which we do not know - knowing the color will at least give a useful hint) a value of 270 Ω should be appropriate.
Also the SCR used needs to be able to be triggered by the lower gate voltage. The gate current (limited by the 10 kΩ resistor) may also have to be adjusted. Again, as we do not know the type of SCR used we cannot give better advice.
A white LED has a typical forward voltage of 3 V to 3.5 V. Assuming 3 V the LED current in the original circuit is Iled ~6 V / 470 Ω = 12.7 mA.
To operate from 6 V the new resistor should be Rled = 3 V / 12.7 mA = 230 Ohm. 232 Ohm is a standard value.
6 V is enough to trigger the BTA16. However, the gate resistor may be too high. Use 4.7 kΩ instead of 10 kΩ for more reliable switching.
The BTA 16 is, according to its data sheet, a Triac and not a Thyristor and its gate current seems to be 25mA.
Depending on what you want to drive from the output, other solutions may be more suitable.