How can I travel from Huangshan to Guilin with train?

There is no direct train to reach Guiln directly.
From HS, you can take train K155 or K221 to reach Zhuzhou where you can find many trains to reach Guilin.
Have a nice trip there.
In my opinion, you can take a bus to reach Hefei and then change flight to reach Guilin from Hefei directly.

You can also travel from Huangshan to Yingtan and then from Yingtan to Guilin - both by train.