No see RvB bases the show off lore in the halo games but has it's own story and kind of throws most of it out the window about 80% of the time. The first instance that it gets acknowledged is when Griff mentions the master cheif blowing the halo ring up but that's about as far as they take it. UNSC, ONI (pretty sure), these are also things that are mentioned and are in the RvB universe. But what connects them also is that RvB was a contributing factor to what helped make halo popular which is why Microsoft & bungie agreed to continue the series. Burnie who is the shows creator even stated this in an interview. Also another thing is that because of this, from halo 2 onwards + the anniversary of CE, there has always been some form of RvB Easter eggs in each halo to date with the most popular being the second level of halo 3 at the start of the mission where you will hear caboose, griff, church, Simmons, sarge, doc, donut or tucker depending on what difficulty you play on will depend on who you hear. Yeah I think I went a little overboard but hope this helped :)