I tried to search a bout how to connect plolou motor with encoder to arduino mega and the motor control shield as in those pics 
if any one knows how to connect those to each other please tell me
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Did you try anything already, or look up a tutorial online perhaps? – MichaelT Nov 27 '18 at 13:33
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A quick look on Pololu's website reveals that:
Color Function
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Red motor power (connects to one motor terminal)
Black motor power (connects to the other motor terminal)
Green encoder GND
Blue encoder Vcc (3.5 – 20 V)
Yellow encoder A output
White encoder B output
Thus: Red goes to M1A and Black goes to M1B on the motor shield. The remaining wires are for the encoder and go to Arduino pins. Green goes to Arduino GND, Blue goes to 5V, Yellow and White go to the digital i/O pins of your choice.
Note: Your motor shield has extra 5V and GND pins so you can connect the Blue and Green wires there.
