Can a 125mw dual gang pot handle 10w audio output?
I want to know if I connected it directly to the outputs of the two audio amplifiers circuit then to the speakers if the the resistance go to about 0 ohm will it be OK for 10W output.


No.


Potentiometers are usually rated at 0.125 W.
The maximum current the pot can handle is given by \$ P = I^2 R \$ which can be rewritten as \$ I = \sqrt {\frac {P}{R}} \$. If you choose, for example, a 100 &Omega; potentiometer then \$ I = \sqrt {\frac {0.125}{100}} =  35 \ \text {mA}\$.
With an 8 &Omega; loudspeaker this would give you about \$ P = I^2 R = 0.035^2 \times 8 = 0.01 \ \text W \$ from you speaker.


The correct way to reduce speaker volume is to reduce the amplifier input signal level using a potentiometer.