Can you please tell me the correct sequence for initial and later management of Lt Hemianopsia i.e. initially for left do you place items on the left as compensation and later move it to midline and then right or do you place it on the Rt since you want to encourage patient to look away from affected side?

A homonymous hemianopsia is the loss of half of the field of view on the same side in both eyes. It occurs frequently in stroke and traumatic brain injuries due to the connections and wiring of the visual system with the brain. The visual images that we see to the right side travel from both eyes to the left side of the brain, while the visual images we see to the left side in each eye travels to the right side of the brain. Therefore, damage to the right side of the posterior portion of the brain can cause a loss of the left field of view in both eyes. Likewise, damage to the left posterior brain can cause a loss of the right field of vision. [1]

As is most often the case, going by your question, visual neglect is a problem that is often confused with homonymous hemianopsia. Visual neglect may occur with or without a homonymous hemianopsia. While homonymous hemianopsia is a physical loss of visual field to one side, visual neglect is an attentional problem to one side of their body. The patient may or may not have a loss of visual field, but due to the visual neglect cannot learn to compensate because they cannot mentally attend to that side. Here is an excellent article that discusses homonymous hemianopsia in detail including it’s treatment. (However, it does appear that the sequences you mention in your question relate to the treatment of visual field neglect and not to homonymous hemianopsia). In addition, this article discusses a few other treatments recommended for hemianopsia rehabilitation which include saccadic eye movement training, training in hemianoptic reading skills and the use of optical visual field expander etc.

Reference 1, Reference 2