Erm, I'll be honest, when I see Vonyx kit my heart sinks!!
I've had a look through the manual, and there isn't really much technical information. Adding an additional may help the situation, but on the other hand it may not. The inputs are intended for mics, so it should be fine without. But it doesn't actually state how much gain it's added to the signal.
I would advise hiring a mixer (or even better borrowing one) and trying before you commit to buying anything. The other thing that may be worth trying is borrowing a radio mic, these basically output at a higher level. If you're buying a radio mic, avoid anything that uses the 2.4ghz frequency. It's the same band as wifi and bluetooth, and they have a habit of working great in rehearsal and then falling over when an audience (and all their devices) turn up.
Another thing is which input are you using, if you're using the jack (Mc2) and the output on the mic is an XLR then you may have more luck getting an XLR to XLR cable.
If you give us an idea where in the country you are, someone may be able to recommend a PA hire who can supply some kit to test with.