Help with Lisianthus Ordered Online – Not Thriving

I recently ordered Lisianthus plants online, but they don't seem to be doing well after arrival. The leaves are wilting, and the plants look weak. I followed the care instructions, but nothing seems to help. Has anyone experienced this before or have tips on how to revive them? Any advice would be appreciated!

 

Looks like highly organic appearing potting medium is being kept quite wet. Apart from that, here are some cultural instructions (notice - among other things - that it says to use a peat-free container soil): Lisianthius russelianus|blue field daisy/RHS Gardening