As reported by both Tony Barrett of The Times and Paul Joyce of the Daily Express, Liverpool have entered the Alex Teixeira race with a £24-25m bid (depending on which journalist you believe more).
Liverpool have made an offer of £24 million for Alex Teixeira [...] Shakhtar value Teixeira at closer to €50 million (about £38.5 million).
Liverpool value Teixeira at around £25million which equates to just over 30m euros. Shakhtar want nearer £39m (50m euros).
Apparently, Liverpool CEO Ian Ayre flew to Florida to submit the bid in-person to Shakhtar at their mid-season winter camp. So he basically went all the way to Florida just to find out what we've already come to know over the last couple months: Shakhtar are not selling their goal-machine this January. In the summer, yes. Now, no. (So they claim, in any case.)
Teixeira had previously confirmed offers from PSG and Juventus as well, but he's expressed a very clear desire to fulfill his dream and play in the Premier League. Dreams do change of course (right, Douglas Costa?), so basically we should all just get ready for the bidding war coming up in the summer.