PLC 5v inputs are "high level" inputs designed for devices generally known as pressure transmitters (as opposed to transducers), that have a conditioned signal output.
In a transmitter, the pressure transducer's low level output is amplified, linearized, characterized, scaled and usually isolated, too; with some form of zero and span adjustment.
Your transducer is raw mV. At a minimum you need to amplify the signal so that your scale is more than 6 parts in 1000.
If you're asking the question how to do it, you're probably better off buying a pressure transmitter with a 1-5V or 0-5 V output. Google will give you at least 1,000 hits on pressure transmitter.
Dan