The phrase "lay at one's door" means to blame someone for something. Some antonyms for this expression could be to commend, praise, or extol someone. Another antonym could be to absolve or exonerate a person from any wrongdoing. Instead of blaming or accusing them, one could acknowledge their positive contributions or forgive any mistakes made. Additionally, the phrase "lay at one's door" implies a sense of responsibility or guilt, so an antonym could be to ignore or turn a blind eye to the situation. Ultimately, using positive and forgiving language can help create a more constructive dialogue with others.