As above, buy a 5m reel of LEDs, some aluminium profile to house it, and a couple of drivers.
Eg
channel &
cover (you'll need two of each) plus
fixings, some
LED tape (I personally don't think it matters about being waterproof if it's inside some channel with a cover, but you can choose waterproof instead if you prefer), and two drivers. For the 2m length, it'll need to be 10W for 5W/m tape, for the 1.4m length it'll need to be 7W for 5W/m tape - so pick
drivers with at least those ratings. The channel is in 2m lengths, so unless you join it, it'll be a littel shorter than your 2.1m cupboard.
You haven't said how the cabinets are arranged, but you can drive the whole lot with one larger driver (min 17W using 5W/m tape) if the wiring is convenient (preferably without long cable runs). But if getting the low voltage DC to both strips is awkward, then use two separate drivers.