Alexander-Arnold and Matip are expected to be out for a while.
Alexander-Arnold, who has an ankle injury, and Matip, who has a calf issue, were both taken off at the end of the game.
LuisDiaz has been out with a knee injury and will be out until the end of the year.
The top team in the league lost at the stadium.
The result leaves the Reds in 10th place and 14 points off the top of the table.
There are six games between now and the end of October, including a home match with Manchester City.
They are already without several players due to injury, and Andrew Robertson has a knee problem.
Jones is back in training and could play against Rangers on Wednesday after missing the last two games with a calf injury.