All of our wheel-on trainers come with a basic, steel trainer skewer. Although included and recommended, these are not proprietary and are not intended for use with every bicycle.
Note: only bikes that already use a quick release skewer are compatible with the included (or any) skewer - if your bike does not already have a skewer, this skewer is not meant for your bike.
For thru-axle compatibility, more information is available here.
If your bike uses axle nuts, test fitting is recommended. Often times the axle holds on the trainer will be able to fit sufficiently over the axle nuts, however sometimes it is necessary to install alternative nuts called Acorn Nuts to fill out the axle holds more effectively. This is something any bike shop would be able to provide.