Fireworks were expected in the fixture, considering the form of both sides, as well as the attacking talent on display. With niggling fouls and cynical tackles more rampant than goalmouth action, the game struggled to live up to standards, however.
Manchester United started brightly, producing a stunning sliding block from Seamus Coleman to avoid Van de Beek after a Paul Pogba backheel in the 7th minute played him in.
In what was a rampant start from the Red Devils, the Everton goalkeeper made multiple saves to deny the visitors. The Toffees developed into the game after weathering the storm and gradually became more cynical in their approach.
The second half was more cagey, as in what became a full-blown scrappy affair, both parties failed to generate moments of brilliance.
Cavani stepped up with a brilliant strike just as it seemed like a penalty shootout was required to determine the winner, while Martial added a second goal deep into injury time to seal the deal for Manchester United.
The win means the Red Devils are progressing to the last four of the cup competition. Meanwhile, as they head to Sheffield United on Boxing Day, Everton will expect to recover their mojo.