With the latest version of Premiere, the rabbit hole got a little bit deeper. if you enable its new color management feature, it will interpret through your monitor OS profile. But, it will take that, run it through a rec. 709 transform interpretation and then finally add a BT.1886 transform.(which means, if your monitor is calibrated to BT. 1886, premiere should match any player that can playback BT.1886 like madvr with luts.
Now, the main problem is, the web isn’t BT.1886(or rec. 709 2.4 with a straight shadow curve) its actually sRGb, so premiere grading won’t translate well to the web. Also FCPX uses rec. 709 2.2(last I checked) so it won’t look right either.
here’s two luts depending on if your going from FCPX to premiere or premiere to web/VLC/firefox. one darkens, other lightens. They are for monitoring your preview only and should be disabled just prior to playback. They are 64 cube.
bt1886 to srgb/rec709 2.2 and srgb to bt1886
https://drive.google.com/open?id=1HHxxaOWifI3TEhBwEyGSl139x2jRM9dO