Once Sanchez fell through, it's looking more and more like they won't land the big name to replace in this transfer window. It's still early, but I highly doubt it's gonna happen. Right now Rodgers and Ayre are just filling out the roster with enough talent to compete in the CL and league, and I think they're succeeding.
They've acquired a bunch of proven EPL talent (Lallana, Lambert, Wilfried Bony is looking very likely) and young guys who could be great (Can, Markovic, Origi). They're also looking at Antoine Griezmann, but honestly I'd rather just save money until late September or January and wait for the big name.
Of those names, Markovic is really the only one I get really excited over. He's gonna be a star; the only question is when. Him and Lallana are perfect fits for Rodgers' system (athletic, creative, quick on the ball, and hardworking), which is why even though I'm not over the moon about these signings, they're a far cry from how Spurs screwed up. They're not just guys Rodgers rustled up from all over Europe.
My guess they'll add Moreno and Lovren (sigh) to shore up the defense (and finally end Glen Johnson's reign of terror at right back) and then they'll be done. They probably won't be title contenders at the outset, but they're still much, much better than United, Spurs, or Everton.