There are several synonyms for the phrase "not look kindly on/upon" that can be used in more formal or professional settings. These include disapprove, frown upon, object to, take a dim view of, condemn, criticize, reject, denounce, and deplore. Each of these phrases conveys a sense of negative judgment or displeasure towards a particular action, behavior, or attitude. It's important to use the right synonym in the appropriate context to ensure effective communication and clear understanding.