Until researching this question, I had thought that this song WAS sung by the Fab Four. As they say- "You learn something new every day".
The single - 'Lies'
The band - The Knickerbockers
The performer - Jimmy Walker (who, in 1968, replaced Bill Medley in The Righteous Bros)
The Knickerbockers were a New Jersey band but ‘Lies’ sounded very British, mimicking a Lennonesque Beatles. Songwriter Beau Charles says he deliberately made the song to sound like the British Invasion.
Within the article is a link to YT showing one of The Knickerbockers performances. Decide for yourself whether the group achieved their objective.