Firstly, Andy is correct re the ABS differences.
However, it sounds like you need a Tech 2 or decent alternative to run the ABS as the brakes are bled.
Swapping out the ABS unit won't change this, as the new one is guaranteed to be full of air, and depending on how it has been stored, probably corroded inside (it's aluminium after all).
You should start furthest point from the reservoir and work back... So Nsr, Osr, Nsf, Osf. Although some sugest to treat the ABS as the 'reservoir' giving Osr, Nsr, Osf, Nsf.
Either way, I would try the following.
Open the cap, ensure that the reservoir is topped up, completely remove each bleed nipple in turn, slowly pump the pedal by hand a couple of times and refit the bled nipple. Once you have done this on all four wheels, you will hopefully have fluid at all four corners and can then bleed it normally.