The term "most back-up" refers to something that has the highest level of support or assistance. Synonyms for this phrase may include "heavily supported," "well-supported," or "strongly backed." Other similar phrases could include "well-reinforced," "firmly supported," or "thoroughly bolstered." Essentially, any phrase or word that describes providing additional support or assistance to something could be used as a synonym for "most back-up." These terms can be useful when discussing a project or undertaking that requires a significant amount of support in order to be successful.