Richard,
From your description these appear to be the either the NYC or ATSF PA's. I have the NYC versions, both PA (6-18953, Powered but no RailSounds) and PB (6-18966, Non-Powered yet does have RailSounds). These are from the year 2000.
The PA unit was made without sound in order to be relatively low-cost way of getting into command control (TMCC). The PB was sold separately as a thrifty way to add the RailSounds at a later date. I can see how you would MU (lash-up) the two of them to create a train and operate that way. But since the 'B' Unit has no motor or drive system, and the 'A' unit no sounds, you can also simply set the ID's on both to be identical and skip the lashup. They cannot fight each other, with either motion or sounds, because of the way that these are split up between the two units.
@ThatGuy may be correct about a sound failure, but there isn't just one soundboard, there are 4 individual boards that make up the sound system.
Before you consider upgrading, I've previously seen the symptoms you describe with your 'B' unit. The first thing to do, if you're a little bit handy with such things, is to remove the shell on the PB, then unplug and reseat each of the PC boards (see Nos. 14, 15, and 16 in the diagram below) that are presently plugged into the motherboard (see No. 13 in the diagram). Do this one at a time to make sure that you get each of them back in the same location they came out of.
This uninstall/reinstall action will clean the contacts on the connectors between them. Frequently this is sufficient to restore proper operation.
How does a short circuit make the contacts dirty? It doesn't. They get that way over the years prior, but a short-circuit can easily expose the problem once it exists.
While you're inside check for any obvious short circuit damage, like melted wires or charred components or burned copper traces on the PC boards. If you find something simple you may be able to replace a wire or change out a bad board instead of investing in a big upgrade.
Also, be careful putting the boards back in because it's too easy to get them misaligned on the mating connector, side-to-side by one pin, as you reinstall them. (If they're not correctly aligned you'll probably see smoke and a large repair bill.)
Try it.
Mike