For a bit more cushion, you could wrap the bars with a section of an old inner tube, then wrap bar tape over that. I've done this on my bikes and it works well (for me).

For even more cushion you could wrap the bars with two layers of bar tape. I did this on a buddy's bike and he loves it - but he has big hands.

Note that either option will increase the volume of the bars, making larger surfaces to grab...so YMMV with these methods.

Good luck.