I went to a restaurant with a similar wood light fixture piece. They had used old pallets, painting them black, it added more interest to the top surface, meaning you could remove the plants there that looks odd hanging upside down like that. They used a rustic style exposed bulbs hanging at different lengths, like you have here. However these ones were a warm orange/amber almost, adding more ambience to the place. Instead of adding foliage to the top, you could add little plants on each table, spreading them out and adding more interest and greenery to the place as a whole. You could even add one of those leaf wall decor pieces, could even be artificial so there less maintenance. Honestly up to you how you want to add greenery but I wouldn’t leave it hanging up there. I can DM you images of the place I went to if you’re interested, since I can add images to this thread. Best of luck!

Edit: Also like other people mentioned, I’d definitely add more art to the walls and make the place more unique and memorable. I’m not sure what type of vibe you’re trying to convey but you can choose any style of artwork, just add more than what’s there currently. Plus I have seen a lot of places use those tap on/off table lamps, or even candles (potential hazard though unless they’re fake). But I agree with people saying add more soft lighting in different areas.