An investigation has been launched after group people, who boarded a train at Preston, sang offensive songs, say police.
The incident happened on Sunday, November 12 on board the 9.45am service from Euston to Glasgow Central station.
Police are now appealing to anyone who was on the train or who witnessed the incident to get in touch.
A spokesman for British Transport Police said: "A group of four men and one woman wearing Rovers shirts boarded the service at Preston station at 12.50pm and began singing sectarian and transphobic songs, which included degrading remarks about transgender people, throughout the journey.
"Officers would now like to speak to anyone who was travelling on the service and witnessed what happened and what was said by the group.
"Any information big or small could help officers investigating the incident."
Anyone with information should call 0800 40 50 40 or text 61016 citing reference 253 - November 12, 2017.