Good that they're out of the boxes.
A few of the things can cause them to dry out too quickly...
*Temperature too hot...plant is too close to grow light or in a very hot, arid environment...desert conditions, indoors with heating/cooling zapping the humidity out of the air, etc.,.
*Water tray is too small, too shallow...the issue is that you don't want the water level so high that the tips of the roots are constantly in water and that the grow mix stays waterlogged/soggy all of the time. For the tiny retail pots that flytraps come in you really don't want more than 1/4" of water in the tray, but you have to be sure the grow mix is moist at the same time...maybe top water, let the water drain well, throw the drain water away, then top the tray off.
*The grow mix that the flytrap is in could be substandard with a lot of perlite or ??? that allows too much water to drain away. This is usually not the case from what I've experienced the grow mix in the death cubes are usually "mush"...very little perlite and very fine material.
*The problem that I see is that the pot is simply too small. A small pot of grow mix will dry out much faster than a larger pot of grow mix will...there's simply lots more moisture in the larger volume of grow mix to evaporate/be transpired. With a larger pot the depth of the grow mix will be deeper and you can use a deeper water level in the water tray being as the root tips will be at a higher level from the water. And, by potting up to a larger container you can be sure that the grow mix is a good one.
Just some thoughts, nothing carved in stone or anything.