have you tried running the motor with the battery with 25 centimeters of wire?
you have specified the source (12V and 7Ah) what are the requirements of your motor?
nominal voltage and operating current?
start up current?
what gauge wire are you using?
what does "...just I feel a bit vibrations there..." mean?
is the motor vibrating?
you wrote "...I then connected low voltage motors but they are too not working like the original one..."
what voltage is the low voltage motor? what voltage is the original motor?