Do the annualised figures cover the same number of washes? Maybe they consider that the average user of the Exxcel brand will do less washes than the average user of the Logixx.
Or perhaps they assume, say, 500kg total wash load/year and divided that by the capacity of the machine to get the number of loads/year the multiply by the energy/water per load.
Or a combination... without knowing how they are deriving the annual figures they are useless. And they might not relate to your use of the machine anyway.