Transplanting causes a plant a great deal of stress. The way a plant reacts to the stress depends on the conditions under which it is transplanted and the particular variety of plant. Some species are naturally more hardy when transplanted, while others react poorly. Understanding what might be at work if new leaves start dying informs how you should address the problem.
One reason new leaves might not do well on a transplanted plant is that, in its weakened condition, the plant might not be supplying enough nutrients to all the leaves. One way to solve this problem is to fertilize plants after you transplant them. You should use a regular home plant fertilizer on young plants about every two weeks. This helps them get established and supplies all the nutrients to the leaves that they require.
When a large plant, bush or tree has been transplanted and is not anchored solidly in the ground, a harsh wind might shake it vigorously. This breaks off the tender new roots that are trying to penetrate the new soil and means that the plant doesn't have a good enough system to supply energy to new leaves. If your plant has leaves dying and is in high wind conditions, drive two stakes into the ground 180 degrees apart and anchor the plant to the stakes. This stabilizes it and allows new roots to form.
One thing you always need to consider when you transplant any type of plant is whether or not it is getting enough water. The plant will need more water than usual after the transplant. Typically, the larger and more established the plant is, the longer you must maintain an increased water regimen after the transplant.
It is important not to prune a plant too much after it has been transplanted. The plant has to create enough energy to keep itself healthy after a stressful transplant. However, if the new leaves begin to die, you should carefully prune them away. This allows the plant to conserve energy and divert it to improving the health of surviving parts of the plant.