Personally I don't expect either of them to start (Bradley or Gordon). It's more important we get minutes from Gomez and Konate at the moment than it is to give a rare bit of gametime to Bradley and at the same time I think it's 100% certain Phillips will play. So I'm still thinking it will be Gomez at RB with Konate and Phillips at CB.
You're right, it is more important to give minutes to Gomez and Konate than youth players. However, I would go a step further and say that it's also important that those minutes for Gomez and Konate come as a CB pair, rather than having Gomez at RB.
Looking at our fixtures it seems apparent that Klopp has been rotating his CB's in the last couple of games in order to have his best CB pairing available in the PL games. Getting Konate and Gomez accustomed to each other against Norwich would be useful ahead of the Porto game where they could be the starting CB pairing:
Norwich: Konate / Gomez
Brentford: Van Dijk / Matip
Porto: Konate / Gomez
Man City: Van Dijk / Matip
That rotation of course means that Phillips wouldn't get a game, but I think winning games and getting a Konate/Gomez partnership going is more important than giving minutes to our 5th choice CB. There will be opportunities for Phillips later in the season (eg. Dec/Jan time), but this early in the season I'd rather see minutes at CB given to Konate and Gomez to help Konate settle and get Gomez up and running again after a long time out.
I also think the team would benefit more from a RB who suits our attacking style, rather than shoe-horning Gomez in at RB. Keep in mind that Norwich are likely to field younger players too, as they did in the previous round against Bournemouth where Tzolis (19) and Brandon Williams (21) where their LW and LB respectively. Thus, in terms of experience our lads wouldn't be that far off.
Lastly, I think a strong case can be made that a CB partnership of Konate/Gomez and Milner at DM would be stronger protection - for the whole team, than with Phillips at CB. Phillips is a battler and wins many headers, but he's limited when playing a high line and winning races when balls are played of the top - both of which Konate and Gomez are very good at.
At this point in time I think this is what we'll see tonight:
Kelleher
Bradley Gomez Konate Tsimikas
Milner
Ox Jones
Gordon Minamino Origi
Fwiw, bear in mind that in last years league cup our lineups were as follows:
Lincoln away (7-2 win):
Adrian
Neco Rhys Van Dijk Tsimikas
Grujic
Jones Shaqiri
Elliott Minamino Origi
Arsenal 0-0 (4-5 pens):
Adrian
Neco Rhys Van Dijk Milner
Grujic
Jones Wilson
Salah Minamino Jota
Looking at those lineups it's apparent that Klopp likes to include about 3-4 younger players in these sorts of games. In my proposed lineup we would have Kelleher, Jones, Bradley, and Gordon, which seems to be in line with the aforementioned League Cup lineups (though Kelleher and Jones are considered seniors by now technically).
Klopp also wasn't afraid to play Neco, Rhys, Jones, and Elliott all on the same side of the pitch, albeit in an easier fixture against Lincoln. Against Arsenal we also had Rhys, Neco, and Jones on the right side though, so it doesn't seem outlandish that Klopp would fancy going with both Bradley and Gordon here - especially with some experience at CB and in CM (Ox, Milner).
Klopp clearly also likes having Minamino playing centrally in these games rather than out wide. Which means that Origi would play at LW, leaving only RW for Gordon.