Liverpool boss Rodgers delighted with Allen goalscoring performance
Rodgers had words of praise for Allen, who opened the scoring before Jordan Henderson made it 2-0.
"In the first three or four months of last season Joe was our best player by a mile," said the manager. "He had a problem with his shoulder which really curtailed his season and meant he couldn't have that aggressive streak that is part of his game.
"Joe has been terrific over the course of pre-season and did very well today."