It may need a bigger pot at some point, but I really wouldn't do any tucking the roots in. Orchid roots can grow all over the place and air roots are adapted to gather humidity from the air. I would be afraid they would rot if forced into the medium. I would mist the roots but leave them as they are for now. If you got it from a grower/nursery then the medium is probably fine to leave as is until it finishes blooming. Mine just finished blooming. These are nice plants and the blooms are just awesome! Good luck! Pat....

It definitely looks like it belongs to the brassia family. However, there are several dozen different species and hybrids that it will be very difficult to get an exact ID. Do a search for "brassia culture" on this forum to get more details information on how to grow them. If you got it to bloom, then I suggest that you just keep doing what you are doing. Sometimes, "knowing more" about an orchid leads someone to baby the plant to death lol.

I HAVE SOME GREAT GREEN HORNETS SPIKING FOR THE 2ND TIME SINCE BUYING......THEY HAVE A FANTASTIC SCENT!! ALTHOUGH, JUST BEFORE BLOOMING THEY STARTED TO SAP, NOW IT IS RAMPANT AND AS THE SAP DRIES, THE SAP BALLS TURN TO, BROWN TICK FLEA LIKE OBJECTS THAT CAN BE LIGHTY GLIDED OFF THE STEM, HERE IS THE QUESTION, IS IT SOMETHING TO BE ALARMED ABOUT? ALSO, IT WAS MENTIONED TO LET THE STEM BE AFTER BLOOM? SO IT WILL CONTINUE AFTER THE BLOOM? NICE!! I SHOULN'T HAVE HACKED THE FIRST BLOOM :)

So just an update on my spiking rootless Brassia, I added the spagnum around the root area just to help with moisture, and while on my misting this morning I saw this.Its producing a new root, this little guy is like supercharged. I am so happy, he obviously intends to stick around.the spike has also grow too, pic below. I also decided to do over the repot on the one in the pot because I find that my oncidiums dry out so quickly, ( add spagnum moss)to its mix and when I unpotted it I was pleasantly surprised to find it too had grown a few roots so both are doing great. Velleta