TVHeadend (OSMC App Store version)

as it is now, you will have to follow the guide that i wrote here about dvbhdhomerun: Here

for hdhomerun you need dvb-hdhomerun software "wrapper".

cd /usr/src

ln -s /usr/include/libhdhomerun/ /usr/lib/libhdhomerun

wget http://downloads.sourceforge.net/project/dvbhdhomerun/dvbhdhomerun_0.0.15.tar.gz

tar zxvf dvbhdhomerun_0.0.15.tar.gz

cd /usr/src/dvbhdhomerun-0.0.15/userhdhomerun
make
make install
run like this 
/usr/local/bin/userhdhomerun -u osmc -g video -f

an actual userhdhomerun package is coming, an easier way…

only the kernel module is in OSMC…