The phrase suggests someone caused or should fix a problem, even if not directly stating it. After the match, fans laid the loss at the coach's door.
Pro Tip 2/3
Not Literally Nearby
The phrase metaphorically means blame, not putting something physically at someone's door. Critics often lay the failure of the policy at the senator's door.
Pro Tip 3/3
Negative Connotation
It's usually used in a negative sense, implying fault or error. Employees may lay the burden of overtime at the employer's door.