See im not to sure because its not like i need faster charging but a higher output to allow the amp to draw enough power from the battery pack. Like is that a 3amp charging output or is that a bms that doesnt limit the appliance output.
That appears to be only parallel 4056's, so does not have the undervolt/overvolt/overcurrent protection.
The protection is handled by the DW01 (6 pin chip) and the 8205A on the pcbk, the DW01 is the protection IC, and the 8205A is a dual mosfet.
The DW01 circuits normally are configured to use the RDSon of the dual fet as it's current sense, when the current is sufficient to cause about 150mV drop across them it shuts them down.
To quote from the datasheet
3. Overcurrent Protection
In normal mode, the DW01-P continuously monitors the discharge current by sensing the voltage of
CS pin. If the voltage of CS pin exceeds the overcurrent protection voltage (VOIP) beyond the
overcurrent delay time (TOI1) period, the overcurrent protection circuit operates and discharging is
inhibited by turning off the discharge control MOSFET. The overcurrent condition returns to the normal
mode when the load is released or the impedance between BATT+ and BATT- is larger than 500k?.
The DW01-P provides two overcurrent detection levels (0.15V and 1.35V) with two overcurrent delay
time (TOI1 and TOI2) corresponding to each overcurrent detection level.
The two levels are used for normal overcurrent (150mV dropped, TOI1) which has a delay of 10-20ms, and short circuit (1.5v dropped, TOI2) which has a 500uS delay.
Anyway, the CS (Current Sense) is connected via 1k resistor to one side of the dual fets, and ground is connected to the other as you can see in the application circuit (M1 and M2 are both inside the 8205A IC)...
I see no reason that you could not therefore make a small hack to your existing board to instead have a dedicated current sense resistor which you can then size according to Ohm's law to produce the required voltage drop at your desired maximum current. The 8205A should be able to handle 3A of current OK physically.
I would use a sense resistor that can dissipate at least 1W.