No, I think a wood tile backsplash would look odd. Like you put LVP on the wall.

This kitchen is not really "modern," it's transitional. If you want a warmer transitional look, I would suggest a tile backsplash but something with some color and dimension, like a fireclay or zellig tile. I would also trade the generic brushed stainless hardware for something in brass or bronze that has some heft and patina to it.

maybe green ...cant say the blue in the demo kitchen does much. with the large sized doors and glass fronts the tile should have some dimension / variation / or interest w the color/tone or something....... Its a big wall of white and the black counter really isnt a statement thats why I guess too pale a color like the blue just doesnt work that well in my opinion. Get to a tile store / bring samples/ maybe look for less simple/plain I guess is how you'd say it. Not sure what you like .

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Are your counters black?

No. Counters are white quartz

How about adding floating shelves like this

Personally I think shelves might be pretty to look at, depending. However, they’re kinda a PIA to keep clean and organized. Also, I don’t think they’d look nice in your kitchen. You have some nice, transitional choices. Oh, I agree that wood tile splash would look odd.

Shelves of any kind beside a range hood, will be a dust and grease magnet. Not advised.

@herbflavor gave you some great suggestions for the backsplash. Green will add a nice punch of color.

Here are some wooden tones that are builder is offering. Would a double tone look nice?

Also- how can i achieve modern look with shaker style cabinets?

Found this one as a good example…The drawers are slab, but all of the cabinet doors are shaker. i think a modern kitchen with shaker doors is achievable with good cabinetry design and the right hardware.