Let's try to understand how the brake works and see what doesn't with yours.
Others will chip in (please?) if I make an error, but here it goes.
Brake system is completely filled with oil (non-compressible; means volume is constant. Air/gas can be compressed and therefore change volume).
There is an open connection within the whole system; calliper area behind the pistons, lines, master cylinder and reservoir. The MC and reservoir are connected through the bleed hole in the MC. This bleed hole gets closed of when the piston of the MC is pressed in when you brake. With the constant volume this means the oil is pressed out of the MC and will push the pistons in the callipers out. Those will clamp the brake disk and brakes the bike.
When you release the brake the spring will push/pull the piston back, pulling the oil from behind the calliper pistons and 'sucking' them back into the caliper. Once the MC piston passes the bleed hole you have an open system again and the pressure equalises.
The front brakes are well laid out (relatively
) as everything is in a vertical line up and air will accumulate up at the MC/reservoir (sometimes with a little coaching like keeping the pressure on for some time. This will reduce the size of the air bubbles (you compress them) and allow them to easier travel through the system and release themselves if 'stuck' in a place). With the rear brake the arrangement is different, as the calliper is above the MC and the reservoir is removed from the MC. Normally you would expect air to accumulate in the callipers and/or bleed of into the reservoir if in that line.
In order for the piston to easily push the volume to the callipers you need the reservoir to easily provide oil, also behind the piston (remember it is a closed system). This means that the system should be able to draw in air, which it does at the caps of the reservoirs. In order to prevent humid air to get in contact with the oil you have seals fitted, but you need to be able to get air behind the rubber. Therefore the forward reservoir has air channels in the cap (it also has two bleed holes to the MC), the rear reservoir has some arrangement in the rubber sealing, where the cap sits IIRC.
There have been reports of brake lines being faulty, where using the brakes ended up with the oil in the brake line lining, instead of putting full pressure on the calliper pistons, or where a porous line between the rear MC allowed air to come into the system (possibly combined with an unability to get air in the reservoir top). Other issues were with the lining of the brake lines coming undone and preventing free oil movement.
I have seen a lot of issues getting the rear brake properly bled and normally take the calliper off and put it on the ground with the calliper pistons pressed in, using the method of keeping it under pressure overnight.
You need to make sure that with the MC piston in its 'rest' position (no pressure applied) the circuit is open. (you put the little screw back in with the piston in compressed position, right?)
If you can not get it right with the normal methods (and I think you've done that) I would have a hard look at how old the lines are and renew them and see if that works.
Hope the above helps a bit to focus on a solution. If not hopefully I haven't confused you further
Good luck!