Now, with autopilot on, the system will recognise an EF situation and fly the procedures with 15deg bank angle until "green dot" speed is reached, green dot being a function of VS. As long as the autopilot is on, sideslip is also controlled, but I don't remember what the limit is..
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With One Engine Inoperative (OEI) the actual bank-limit as commanded by the FDs will be 15deg up to characteristic speed (for the config either: F, S or green dot) minus 10 kt and then linearly increasing to 25deg up to characteristic speed minus 3 kt.
The 33 and 67 deg you describe are features of the FBW (Normal Law) and are not related to AP/FD commanded roll rates nor with manual flying bank limits.
Also the rudder thraw limiter? I suspect you mean the rudder travel limiter is not related at all with maximum sideslip! There is no maximum sideslip defined, the sideslip is whatever it is, and you better keep it optimum as per the BETA target when flying manually. Or keep the sideslip zero on the sideslip indicator whenever the BETA target is not available (config 0 and N1 less than 80%).
Was just wondering how you could guarantee a certain AoB during a SID with min a min bank angle of 20/25 degre
You can't. NAV mode will try to fly the green line up to 30 deg bank basically (a lot will depend on how the SID is constructed by the database programmers). If necessary you can intervene with heading-mode which will give you 25 deg bank with all-engines-operative at most speeds (see the graph).
Cheers