Small correction: I am assuming you mean the Champions League of 2005, not 2015?

Referring to the matter at hand, looks like Liverpool have finished their rebuild--they had a dangerous attack triumvirate, and with the acquisition of Van Dijk last season and Alisson Becker this window (along with Keita, Fabinho and Shaqiri), they're in good position to seriously challenge.

One thing that matters in a rebuild is philosophy--if the coach/manager of a team has a specific philosophy of how the team is to play, it is up to both that coach and the front office to identify and acquire the talent that fits. Klopp's Liverpool and Guardiola's Manchester City are good examples of identifying players that fit and continuously molding them after acquisition to play your brand of football; on the other end, we have--as much as it pains me to say it--Manchester United, who have splashed the cash on players but still seem to have no cohesive gameplan.

It ain't just about players--it's about a top-down philosophy that requires the front office, the coaching staff, and the players to be aligned. That's how you successfully rebuild.