Liverpool won’t attract established world-class players regardless of the manager. That is a no-brainer. If you have to compete with Real, Barca, Bayern, PSG, Chelsea + City, Arsenal, United, Juve you´ll lose 99 out of 100 times. If that’s your approach to solve your problems, you can already say good-bye to CL football. That’s said there is another way to do business. Considering how wasteful City and United are with their money, it is possible to finish ahead of both despite spending less.
Simeone also doesn’t buy world-class player. None of those players that Orc is talking about joined them as “superstar”. Obviously Atletico is already a step ahead, but you can still learn quite a bit from them.
The first step is to establish a system and the second step is to buy players, who excel in this system. Chelsea aside the other CL-contender are lacking a coherent system (arsenal might be on their way to change that) so its possible to take advantage of that. Rodgers is half way there. He established a brand of football, but failed to sort out many details. I have my doubts that Rodgers can make the next step forward; that’s why your management should hire Klopp.
Your way forward is to have a better system. That’s very doable, while buying better player than the top4 isn´t.