There are many synonyms for the phrase "go on supporting" that can be used to express the same sentiment in another way. Examples include "continue to back," "sustain," "uphold," "maintain," "stand behind," "assist," "promote," "encourage," "endorse," and "champion." All of these phrases convey the idea of continuing to support someone or something over time. Depending on the context, different synonyms may be more appropriate. Ultimately, the important thing is to convey the commitment to ongoing support and encouragement. Whether in personal relationships or in business, consistently supporting others is a hallmark of strong character and integrity.