Both of the affected games are away from home. The first, against Aston Villa, has been switched to Sunday 6 October from the previous day and will be broadcast live in the UK on Sky Sports.
Kick-off at Villa Park, where Erik ten Hag's men triumphed 2-1 last season, is scheduled for 14:00 BST.
After a fortnight's international break, the Reds will resume the league campaign with a home clash against Brentford.
This match has not been selected for live TV coverage and will therefore go ahead at the same time and date that was provisionally announced, on Saturday 19 October at 15:00 BST.