What is the technique or procedure to disable/disengage the MCAS on Boeing 737 Max 8 & 9 Aircraft?
MCAS doesn't have its own on/off switch
It is a fly-by-wire feature designed to account for a particular flight regime that would not (or was not expected to be) encountered very often in normal operations, and is intended to account for some of the aerodynamic effects of the LEAP-1B (CFM International) engine installation for this model.  Its activation requires a number of preconditions, but we'll get to that in a moment.
A concise description of the system is found here.  The observation was a follow up to an observation that the MCAS isn't an anti stall feature like a stick shaker, but rather ...


Just about everything you have read in the media is wrong.  MCAS is not stall protection.  MCAS does not counter the additional thrust of the more powerful engines. It is only there because the larger engine nacelles of the B737 MAX cause an aerodynamic pitch up moment at high angles of attack that did not meet FAA longitudinal stability and stick force certification standards.  The easiest fix was to automatically apply a little nose down trim at high angles of attack.


A few things that should disable it (with caveats)

Lower the flaps. It is intended to work only if the flaps are up.

Turn the Stab Trim switches to OFF.  This disables the horizontal stabilizer's trim completely, and reverts to manual trim (there are two guarded stabilizer trim switches in the aisle stand, see Windshear's answer).  This means that the pilots must move/rotate the trim wheels in order to apply pitch trim during flight, though the Max trim wheels being of a smaller diameter raises a training and effectiveness problem1 that deserves its own question and answer.



The manual pitch trim procedure appears to be what a few crews did prior to the LionAir crash in October 2018.  It is unclear how many of the crews knew that it was MCAS that was malfunctioniing, versus any other trim or pitch anomaly.  The previous LionAir crews on the accident aircraft ended up flying to their destination manually. (Original source is the Preliminary Report from that accident).

... pilots encountered problems involving the AoA as well as the pitot tube used to measure airspeed.  In a flight in the same plane the day before, to Jakarta, the pilot experienced many of the same symptoms as the pilots on flight JT610: the stick shaker activated during rotation, an indicated airspeed warning alert appeared, and the aircraft began automatically pushing the aircraft nose down.
The pilot, after determining that his flight display system was malfunctioning, ran a runaway stabilizer non-normal checklist which led to the MCAS being disconnected when the stabilizer trim switches were turned off.  The copilot flew the rest of the flight using manual controls and without autopilot.
That Jakarta flight was using an angle of attack sensor that had been replaced after the previous Lion Air flight to Denpasar experienced problems. {snip} However, it is not clear whether the pilot communicated that he ran a runaway stabilizer non-normal checklist during the flight, which might have alerted the airline’s engineering staff that there was still a problem. (source)


Enable autopilot.  It is supposed to only work if the autopilot is off.  But...CAVEAT

That last part is a little bit complicated: the autopilot may not stay on if it - the autopilot system - keeps getting spurious signals from the AoA sensors, or if the pitot static system is providing bad data to the FCCs.
How do you know that you need to disable MCAS?
A related question is &quot;when do you know that it's time to turn off Stab Trim switches?&quot;
The problem for a given crew is: how do you know what sub-system is giving you trouble?  The AD released in December of 2018 updated the Runaway Stabilizer procedure.  Since there are other malfunctions possible in the trim system for pitch, such as a trim runaway, the same (or similar) symptom may manifest during malfunctions with different causes.  (See the example above).  If additional symptoms are present, such as a stick shaker activating from an erroneous AoA indication or some other fault, which problem do you solve first?
Which problem are you having?
Are you having both problems, or even something else?
That concern, the relationship between different potential failure modes, gets to the heart of

What is in the pilots manuals?

What training the crews do, or do not, get on this sub-system?


The MCAS is only supposed to activate under certain conditions (in theory): high angle-of-attack, flaps-up, flight with autopilot off.  This includes high angle of bank flight in such conditions.

###CAVEAT
Take a look at that last bullet in the lower right of the figure.  It's only partially correct.  When the pilot overrides with yoke trim, MCAS will try again five seconds later (after the pilot has stopped) unless the triggering condition, or signal, goes away.

&quot;In the event of erroneous AOA data, the pitch trim system can trim the stabilizer nose down in increments lasting up to 10 seconds,&quot; Boeing explained to operators in a bulletin issued last November, following the JT610 accident. &quot;The nose down stabilizer trim movement can be stopped and reversed with the use of the electric stabilizer trim switches but may restart 5 sec. after the electric stabilizer trim switches are released. Repetitive cycles of uncommanded nose down
stabilizer continue to occur unless the stabilizer trim system is deactivated.&quot; (source)

It is this system behavior that is believed to have ultimately overcome the best efforts of the pilots in the LionAir crash.  They were airborne for about six  minutes before they were no longer able to overcome the horizontal stab position with their trim controls.  (Caveat: current as of early 2019.  When the final report comes out this may become a lot clearer, and may need revision).
There is an easy-to-understand video of the relationship between the jack screw and the horizontal stabilizer function here.  Whenever the jack screw is moving the horizontal stab, a cockpit cue that this is occurring is the rotation of the manual trim wheels (seen at about 3:40 in the video).
Why is this activating during takeoff/departure?
That MCAS appears to activate(sometimes) during routine flight regimes is believed to be catching some crews by surprise - and not just the two accident crews.  There is a recent article in *Atlantic* that excerpts some NASA reports by aircrews in the US about some cases of unexpected / odd pitch behavior in this model aircraft.  As of mid 2019, the AoA signal (be it from signal error or a faulty AoA probe) has been identified as a part of the problem in this unexpected activation during takeoff and departure.

1 Note from @user40476, slightly edited:
If you are a bit late to switch off both CUT OFF switches, the deflected angle of the THS will create strong forces on the trim screw, more particularly if simultaneously you hold the yoke to maintain an acceptable pitch.
Critical Flight Safety Issue Follows
In these conditions, it becomes very hard to move the trim wheels manually. This is a major problem; the trim wheel diameter in the 737-MAX is smaller then the trim wheel of the previous models: 737-100, 737-200 etc. This smaller diameter reducing the efficiency of the pilot force on the wheel handle. (Less leverage for the same amount of pilot force applied).
Important Note: this answer is based on information available before the deep dive into the MCAS system that was required to recertify the 737 Max.  It will probably require revision when the final recertification process of the 737 Max is completed.