It's not trivial to get the librtmp0 package in Xenial, so my first idea is to use librtmp.so.1 from the librtmp1 package instead since there's a good chance that the library is backwards-compatible.
To achieve that we need to create a symbolic link to it in a location where the program executable can find it. Since this is kind of a hack, it would be preferable if other applications don't find the same link automatically. Helpfully, this application adds ~/.ember/lib to its library search path by default.
I suggest that you
assure that the librtmp1 package is installed,
sudo apt install librtmp1
create the directory ~/.ember/lib,
mkdir -p ~/.ember/lib
put the symbolic link there.
ln -sT /usr/lib/$(uname -m)-linux-gnu/librtmp.so.1 ~/.ember/lib/librtmp.so.0
If the application now fails with a "missing symbol" error message (or something like that) please update your question with the error message and notify me with a comment so I can address it.
If there are more missing shared libraries you can search for their packages and