Beard, 47, had two spells in charge of Liverpool and left the club just seven months ago.
During his first stint in charge, Beard won back-to-back WSL titles with the Reds in 2013 and 2014.
After spells with the Boston Breakers in the US, West Ham and Bristol City, he returned to Merseyside in 2021 and guided Liverpool back to the top flight in his first season in charge.
Beard was announced as Burnley boss in June but resigned in August.
"Following the sudden and tragic news of the passing of former LFC Women manager Matt Beard, the match at Villa Park - scheduled for 12pm BST - will not take place," Liverpool said in a statement.