There are two option one use masking tape to mark the area and paint black and cover light in masking tape, second option take 4 inch or 6 inch mdf duco paint and fix in pop ceiling use black screws to fix the mdf
These are readily available in the market. You can ask for Concealed magnetic track light or something similar. You just have to create niches in the false ceiling accordingly. Some references below -
Bedroom suite lighting
bedroom lighting dilemma! chandeliers?
HELP Any designer Done kitchen with these shades of merino laminates ?
create a niche or paint strips in black
you could use veneer or laminate for contrast and use recessed profile lights or spots to create a similar interesting effect