Laois boss Mike Quirke says their second-half performance was "pathetic".
It's the end of the road for Offaly and Laois' footballers for 2021, but Westmeath are through to a Leinster semi-final against Kildare on Sunday week.
The Lake County saw off Laois 3-20 to 1-10 in a midlands derby yesterday.
"Pathetic" is how Laois manager Mike Quirke described their second half performance:
Elsewhere, Offaly were beaten by neighbours Kildare, 1-15 to 13 points.