There is no direct connection from Mold to Liverpool. However, you can take the bus to Chester then take the train to Liverpool Lime Street Low Level. Alternatively, you can travel from Mold to Liverpool in around 33 min.
From Mold, Bus Station (Mold Bus Station) bus to Chester then train to Liverpool Lime Street Low Level. 1 h 53 min £8. From Mold taxi to Liverpool. 33 min £79. From Mold drive to Liverpool. 33 min £4.