Every one I've taken from towel to dirt has died.
From these deaths, I've made some assumptions.
1. Dirt kills plants. Needs further investigation.
2. The seed cap goes up, not down, when putting in the dirt.
3. Cover the transplants with something to hold in moisture. They will die in roughly 3.8 seconds from dehydration in a cup that has a 1 cm top of dry soil.
Nothing more specific to your situation, but I assume others will chime in with something actually helpful.