There are various synonyms for the phrase "not accord with," which means lack of agreement or compatibility. Phrases like "out of sync with," "mismatched with," "discordant with," "contradictory to," "incongruous with," and "conflicting with" are commonly used to refer to instances where two things or entities do not align. The use of these synonyms allows you to express your thoughts more clearly, emphasizing the absence of harmony or correspondence between two things. Synonyms for "not accord with" may vary depending on the context, but they serve the same purpose of indicating a discrepancy or incompatibility.