If you can give more specific information about your issues, we can help a little more.

First, that tissue isn't supposed to be bearing weight. Give it a chance to heal, definitely, but it's probably going to get worse over time.

Second, you may want to measure your sitbones just to make sure that the saddle is indeed wide enough. If it's not, you end up putting weight on soft tissue. Ouch.
If it is wide enough...see if some chamois cream or plain ol' shea butter or some other kind of lubricant helps. You may want to try different shorts, but I think the culprit is going to be the saddle. Try playing with the forward/backward positioning. You may need a cut-out or an indentation (lots of us do.) Check the shape. If it's the wrong shape, the motion of your legs will push you forward and off your sit bones.