Can I use this rf module with HT12E and HT12D?
According to the datasheet that module has an async UART interface so it won't be compatible with the HT12E and HT12D. Those are designed to interface with "dumb" RF modules that have a simple data input and output that don't implement any higher level protocols.

I'd suggest attempting to debug your existing solution further or try some alternative transmitter / receiver modules. In my experience the 433MHz modules are normally good for around 20-50 meters at least if the power supply is clean and you have a relatively decent antenna. 

Maybe just as a test you could try powering the HT12D / receiver (I assume that's on the motor side?) from a seperate power supply like a battery and see how that goes. I'm guessing if your range is that low with those modules unless they have a defect you may have the same problem with different modules / frequencies.