It is sort of disorganized, but I will check it best I can.
1. The key to alternating from LEFT to RIGHT direction are RUngs 24 and 27. Looking at each of those, you have logic to select each direction, but it seems to me that there is nothing that will first select Left or Right, then alternate to the other direction on the next run. Your opertion seems to depend mostly on the Hopper High Level Sensors.
2. For example, on rung 24, there is B3:2/4 OneShot Conveyor Auto Mode that could pick the Right direction first, but it depends on the level in the Right Hopper. On rung 27, the Left Cross-Conveyor can never be used until the Right Hopper is full and the Left Hopper not Full. Are those the correct conditions to determine whether the Cross-Conveyor shifts from Right to Left and Left to Right?
3. Earlier you said the altrnation should depend on "Discharge Finished". Is that signaled by your Hopper High Level Sensors? If not, then your logic is not correct. It seems to me that bit B3:1/15 OAS Mixer Discharge Complete" should be the signal to switch from Right to Left and vice-versa.
4. I think that the Timer bits T4:15/DN and T4:16/DN as located could cause your contactor Outputs O:0/1 and O:0/2 to rapidly flip back-and-forth between Right and Left. Each timer bit probably should be in series, T3:15/DN in series with the 3rd parallel branch of Rung 24, and T4:16/DN in series with the 3rd parallel branch of Rung 27.
5. None of these bits are true "alternator" bits that depend strictly on which direction the Cross Conveyor run in the PPEVIOUS run, but instead depend on external input conditions of level sensors, timers, and so on. You may find it would be simpler and more accurate to set up a Latched bit for "Cross Conveyor Has Run Right" and let that be the deciding factor on WHICH direction to switch. The other bits then need only to determine WHEN to make the switch. Without that, your Cross Conveyor may make 2 or more runs in the same direction.
6. You really should interlock your Cross Conveyor Outputs, so that only 1 can ever be ON at the same time. It appears that the last "MOV 2" to N7:1 (the Left Contactor) will be ON most of the time.