Planet Mellotron is, hands down, the best website for information about mellotron and its appearances on records. Anyway, I noticed he hadn't reviewed Beady Eye. So, I contacted the guy at Planet Mellotron for his thoughts on the album and he replied with this:

Thanks for pointing me at it. Given it a good listen, reckon they're using samples on three tracks, but it still makes the site! Actually liked the album, to my surprise :-) Good non-album version of 'Across the Universe', too.

Here is the review:

Well, I can't quite believe I'm saying this, but Liam Gallagher (who very much assures us he's 'ex-Oasis') seems to've actually put together a decent band in the excellently-named Beady Eye. Essentially Oasis without Noel, their debut album, 2011's Different Gear, Still Speeding, reintroduces the 'F' word into Oasisland: fun. Opener Four Letter Word rocks like a bastard, Beatles And Stones, despite its slightly desperate, "I'm gonna stand the test of time/Like Beatles and Stones" chorus, powers along well enough and Bring The Light is classic, high-octane rock'n'roll. Downsides? It's too long and a couple of tracks drift on for at least two minutes past their bedtimes, but this exceeds all expectations.

Gem Archer and Andy Bell both play keyboards, so it's anyone's guess who plays the vaguely Mellotronalike Eastern-ish string part on Four Letter Word, the high line from some form of solo string instrument on Kill For A Dream and flutes on The Beat Goes On. Is it real? I really don't think so; Noel owns several models, but my informants have never given the slightest hint that Liam gives a shit, so my guess is M-Tron, or at best, the hardware MemoTron. Well, Oasis fans should be in ecstasies over this; it's sold well enough, given the currently depressed market, but I'm still surprised it hasn't done more.