I shoot food and product somewhat regularly.
First, what you shot looks very natural. That single source look. I think it looks great. Reminds me of the Johnsonville look. The back light is key to getting the steam to show, which you did. Your aerial tabletop shot loos prefect.
Regarding the highlights on the onions, 2 things. 1, it is a closeup shot which allows you to net and shape the light to a finer degree, which you should totally take advantage of. It's usually a food reset for each focal length anyway. You can flag or net using dots or fingers, foamcore scrap works great in a pinch. 2, If closeup adjustments are out of the question then exposure adjustments will have to be made, such as irising down to desired highlight level then fly in a foam bounce over the table to raise the table back to the right level. If that bounce is ineffective enough, then it'll need to be powered by a separate light source. Fresnel, tunable LED would be ideal.
Alternatively, a polarizer could work if it is a reflection of the juices, but it'll elliminate other reflections as well, including on the spoon. I use polarizers a lot for product shots. Invaluable tool.
The tabletop picture that you want to emulate looks edited to make the table dark, like they crushed the blacks. As far as lighting, there is obviously a side push from the right. It might be a 2x3 or 4x4 of opal considering the lack of crisp shadow. Then it looks like they have an overhead bounce on the left side. You can see this acting inside the cup, the spoon and the bowl. But it's absent on the square pan. So it might be a 4x4 board just over that area. And judging by the reflections in the cup there are a couple fill cards on the bottom of frame. The plastic spoodn handle is reflecting likely another fill card at top of frame.
Hope this helps!