The 20-year-old joined the Trotters on a season-long loan in the summer, having spent a brief period with Famalicao between July and August 2022 but failing to play a single game for the Portuguese club.
Beck consistently struggled to force his way into the starting lineup at the University of Bolton Stadium too, making just nine appearances across all competitions.
The left-back played five times in League One for Bolton, but he only started two of their matches and has played just 15 minutes of third-tier football since the turn of the year.
As a result, Liverpool have terminated Beck's loan spell early, and it is unclear if another temporary exit can be granted in January, given that he has already spent time on loan at two clubs this season.
Beck, who represents Wales at Under-21 level, has made two senior appearances for Liverpool, coming off the bench in EFL Cup wins over Preston North End and Leicester City last season.
The defender, who is contracted to the Reds until 2026, joins the likes of Rhys Williams, Billy Koumetio and James Balagizi to return to Liverpool from loans elsewhere this month.