That rubbery molding you have around the base of the neighboring cabinet should be available at Home Depot or similar places. I bet you can find a close enough color to just kinda stick on there. It'll come off if you ever have to service the DW, and you'll have a half mile extra since it comes in a big roll.

What Fori said. My DH glued flat magnets onto our toe kick (which are oak to match our other toe kicks). The dish washer is metal so it sticks to it. It just pulls off if we ever need to remove it.

Do you have some DIY skills? If his was my space I would remove the vinyl toe kick and scrape the adhesive off the cabinet and replace with oak toe kick. They sell pre-stained oak toe kick at home center stores and I would use that instead of the vinyl. You might need a piece of shoe molding too to cover any gap between cabinet and floor. The dishwasher needs to be accessible so you can't put the oak toe kick in front of it unless you make a removable section the same size as the dishwasher and perhaps attach with Command strips.

Only pic I could find showing toe kick and shoe molding in my kitchen:)

Pre-stained toe kick:

https://www.menards.com/main/home-decor/home-accessibility/kitchen-laundry-accessibility/shop-all-kitchen-cabinets/value-choice-96-huron-oak-toe-kick/96intoekickoak/p-1444439185717-c-14242.htm?tid=7900421530960597120&ipos=1

You could also ask at a home center store that sells appliances if a dishwasher toe kick could be ordered.

It's not a point worth obsessing over. Plan a new paint color, or lighting fixture, or new pulls. Ignore it.

Agree with Green Designs. Nobody notices it except you. It'd be like trying to toe kick match a fridge or a range. It's an appliance, not a design feature.

Gardenweb to the rescue! We have a similar toe kick issue, and we plan to try the magnets-on-trim-piece solution.