I don't feel antennas are all that helpful, outside of a lab setting; you aren't going to have the same gain calibration (due to antenna curve, environment, orientation, etc.), and ambient sources get in the way. Just a good set of probes (E and H field, current clamp), and decoupling networks (LISN, CDN), covers quite a lot.
The main thing you need to know is, what source is blowing it out by 20dB, and, can you reduce it by at least as much? If the probe says, whatever say 43dBuV, in your reference orientation, then you make a change and it says 17dBuV -- that's probably a good start. You still need to know that that reduction was made in a location accessible by ambient fields (coupling to radiation). Usually this means cables and such.
Note that LISNs aren't useless at 30MHz, that's just where the conducted test happens to end. You can see quite a lot carried on cables, before it gets into the air. And a current clamp probe, you can think of as an inline LISN of sorts. E/H probes help with further pinpointing sources, but mind they tend to be rather low gain, not so effective at tracking noise along cables (where a larger probe, or antenna outright, might indeed be more illuminating).
About the test itself: was this sent off and done by independent techs, no one went along to see what it's doing or to troubleshoot it? If so, that's rather troubling. You can only guess what the noise is coming from, and where it's getting out. Hopefully there's only one thing making a given cluster of peaks; but multiple sources can overlap, and you won't know which. Nor what connections are likely radiating; hopefully here too the set of suspects is small, but noise can show up everywhere and a little direction goes a long way.
There is at least polarization, assuming you know how the stuff was laid out for the test (got photos from the lab?). And assuming V/H are listed on the plots, not just merged together(!). Unless everything's all looped up (circular polarization?) in which case nevermind I guess, heh.
Yes, unshielded cables are a likely culprit. A cable having screening/braid is meaningless; only if it's tied to local GND at both ends, is there any containment of CM noise within that path. Other things relatively easy to spot: any connections passing through a bulkhead/shield without grounding or bypassing to it; any PCBs having onboard ground loops between connectors and the main GND plane, or enclosure; etc.
Also, was this just emissions? Did susceptibility pass? Is it going back for that later?
I don't know what kind of motors or controllers those are (Maxon is just a brand), but definitely a possibility. Anything to do with power is an immediate suspect.
RS232 for example, should be very quiet at ~60MHz (unless maybe the driver is shite -- I suppose the charge pump could be badly made or something?), and that's if it's transmitting at all, and at much baud -- it's slew-rate limited, so only the very corners of the waveform correspond to harmonics of any consequence (i.e. in the 10s of MHz), and those corners are very small indeed (i.e. the ~100s of mV during which the signal changes direction between flat and slewing). RS232 isn't shielded so much for emissions reasons, as immunity: it's a fairly high impedance, so an external electric field couples into the wire at near full scale, corrupting the signal. With a noise margin of 5V+ with typical interfaces, it should pass commercial limits (say 3V, 3V/m) well enough, but almost certainly demands filtering and/or shielding to pass more stringent, industrial / etc. levels (say 10V+).
Tim