Hi Andrea,
beside general recommendations it's worth to have a look how to apply those settings to your A95 camera.
One thing to point out: When you switch your camera into "M" mode, allowing manual dial in of fastest shutter speed and smallest aperture, you don't have automatic flash exposure (TTL metering) available anymore. This means you have to select the flash power manually. That's not bad at all. Unfortunately the Sea&Sea ys-60 has only two power settings: full and half power (you wrote YS-60D? I assume it’s the YS-60?). So it might be impossible to meet the required light output as you can't reduce strobe power further than half power.
However, when shooting in M mode in order to get a black background, I would start with the following settings on your A95:
- You have a choice of ISO Auto, 50, 100, 200 and 400. Set ISO to 50 in the camera menu.
- Select “M†mode
- Select aperture f8 (I think that’s the smallest aperture, meaning greatest f number available)
- Set Sync speed to 1/500s
- In the camera menu: select the weakest strobe power level. Your internal strobe will only be used as a trigger signal for the external strobe
- Start with half power selected on the ys-60
If you suffer from overexposed pictures because half power is still too much light, try using “Av†mode:
- ISO 50 (always)
- Select Av mode
- Select smallest aperture (f8)
- Select “TTL†on your external YS-60
In this mode you have full automatic strobe control (TTL). The camera sets shutter speed automatically within the strobe’s working range (1/60 to 1/500) according ambient light but not below 1/60. To keep the ambient light down, select the following:
- Select exposure compensation “-2†in the menu (named “Exp.â€).
I know this is a lot of data for a beginner But maybe it is worth to go thru the settings in order to get the most possible dark background with your camera. If you have time, I would tryout those settings topside before your next trip in order to find out how to deal with them. I hope this helps 
By the way, really nice photo. it really doesn't look like a typical beginner's one. 
Julian