It sounds as though you tested the motor with a separate 12V power supply. Do you mean to say it moves the conveyor in one direction at one polarity, and the opposite direction at the opposite polarity?
You must also test the H-bridge separately, whether it can power a plain 6A load, at either polarity. (I say 6A because it is stated in your first sentence, although you state the motor draws 1.35 - 1.5A elsewhere.)
Anyway the H-bridge must deliver 3 or 4 times the motor's normal draw. This is because a motor normally needs a current surge as it starts up.
A good way to test it is with a lamp that draws 6A at 12V, or a resistor with a value of 2 ohms, and a watt rating of 72W. (Perhaps the resistor can be a lower watt rating, since you probably will not leave it hooked up for such a long time that it gets overheated.)
An incandescent headlight bulb is a convenient load to use. Results are unambiguous of course.
If the plain load does not work, then you must measure voltage at the pins which deliver power to the load. You must verify that each pin can both provide current and sink current.