There are several synonyms for the phrase "were satisfied with" which can help diversify your writing and make it more interesting. Some examples include "pleased with," "content with," "happy with," "delighted with," and "satisfied by." Additionally, you can use more descriptive words such as "impressed," "ecstatic," "exultant," "overjoyed," or "thrilled." By using synonyms, you can express your thoughts more clearly and add depth to your writing. It's essential to choose the right synonym for the context in which it will be used, taking into account the tone, level of formality, and audience.