I just installed the trial of LR to see if it was worth buying. But right now i can't see or edit any of my ARW files. I'm using LR 6.10 and a 64bit system.
The Sony A (alpha) 68 has been supported since Lightroom 6.4 so the software support is there
Can you post a link to one of your Raw files so we can try downloading and opening it in Lightroom?
Edit: as d j paige says, please confirm which version of Lightroom you are running. It's likely an earlier version without A68 support.
Please confirm the version number of your Lightroom by going to Help->System Info. There is no such thing as a trial of Lightroom 6.10
Also, please show us a screen capture of what is happening in the Import dialog box.