If you are not tracking match details such as attendance, scorers, cards, etc. and only need to track the match results, you should consider using the Enter Scores Only feature, instead of the normal Edit Match feature to enter the scores.
You can access that function from Tools > Enter scores only.
From the Enter Scores Only screen, select the round and enter the scores of the matches of the round that have already been played. You can use the TAB key to go from field to another.
Click Save and close to save all results in one go.