Same story, only that board is supposed to use a SX1308 chip, datasheet is here:
https://www.sunrom.com/get/364610 (it's probably same chip as MT1308, or rebranded or something)
In worst case scenario, you should get same voltage as input voltage minus some losses (less than 1v) or if everything's right, a higher voltage (as configured by the potentiometer)
My advice is to check the datasheet, you have there the example circuit (typical application) on the first page. Then, compare that circuit with what you have on your board, make sure all the connections are right. One of the resistors in the typical application example is the potentiometer (R2 if it's like in your picture) on your board, everything else should be pretty much like the example circuit.
Make sure the potentiometer isn't faulty, measure the resistance using a multimeter , measure the other resistor (R1, looks like 1000 ohm in your picture)
The output voltage is always Vout = Vref x ( 1 + r1 / r2) where Vref is 0.6v on these chips (see page 6 of datasheet) <--- on your board, R1 and R2 may be numbered the other way, you may hve R2/R1)
In the pictures, the fixed resistor has 102 written on it (10 with 2 zeroes after it, so 1000 ohm ) and your potentiometer is 103 so 10 with 3 zeroes, or 10 kOhm so at the highest potentiometer value you should have Vout = 0.6 x ( 1 + 10000/1000) = 0.6 x (1 + 11) = 0.6 x 12 = 7.2v
Did you try powering such board from let's say 2 AA batteries (~ 3v) and see if that gets boosted to around 5-7v or did you try only with some higher voltages like 12v? if the potentiometer and resistor are like in the pictures it could explain why you see low voltages, since the maximum output seems to be around 7v.
So maybe they used the wrong resistor value or a potentiometer that's too low in value (they used10 kohm instead of using let's say 50kohm potentiometer)
Check the circuit and try to figure out the maximum voltage using that formula ... ratio between resistance value + 1 , and everything multiplied by 0.6 gives you the output voltage.
ps. Oh , do keep in mind that these chips are not magical and capable of doing what the text says.
I mean those things can be accomplished but not under any condition.
for example the chip will run with input voltage between 2v and 24v and will output up to 28v and up to 2A but not all at the same time. It probably won't output 24v if the input voltage is only 3v, or if it actually does that, the maximum current will probably be much lower than 2A, maybe 100mA or something like that.
The maximum of 2A is more like .... give it 16v input voltage, set the output voltage to 20-24v and you'll get 2A of current.
Also the maximum current and how wide, how big the difference between the input voltage and output voltage will depend on the inductor chosen, which can be between 4.7uH and 22uH ... in the pictures i see it as 4.7uH .... in theory that makes it more efficient but may not make it capable of outputting a lot of current. Depending on input and output voltage difference and current desired, bigger inductor may be required for the chip to actually do what it advertises.
Also these boards don't use exactly the best components, there's other parameters parts need like "low DCR" and saturaton for inductors... i doubt the guys making these 1-2$ boards really picked the most suitable inductor for a wide range of output voltage and current. Most likely they picked whatever satisfied the minimum requirements and had the best price when bought in 10k pcs quantity.