I'd put in a tile backsplash. Stick with a solid color tile so your bottles won't get visually lost. Solid color doesn't have to be boring, look for interesting shapes or textures, and play around with different colors of grout to make a statement. The one in your picture looks very similar to the 2nd picture below.

Mukti, From what you described, it seems you need a water softener than a hydrophobic coating. Salt based softeners are good for these issues.

It’s is back painted glass. As a back splash it can be used as it’s easy to clean and maintain. Highly recommended to be toughened. The entire back needs to be cladded in waterproof plywood and then the glass is stuck on to it with special adhesive or silicon gel. Any reservations on using plywood then you can opt for WPC ( wood plastic composite ) which is alternative to play and is totally termite-water proof.

Greetings from Dream Design, As per your inputs we suggest some ideas -Don't go with too dark backsplash as it will make the kitchen dull after some time and kitchen will look smaller -You can go with marble/tile or even the same counter top like quartz if you use in counter top you can same also put in backsplash as currently it's in trend -take white color with some black/grey lines marble or quartz -or you can go with white designer lines with grooving Sharing some reference pictures