There are several synonyms that can be used in place of the phrase "secondly there is acceptance by." Some of these include "furthermore, there is approval from," "additionally, there is agreement from," and "moreover, there is recognition from." These synonyms can be used to show that there is an added layer of acceptance or agreement in the context of a discussion or argument. It is important to vary the language used when writing to keep the reader engaged and to avoid repetition. These synonyms can be useful in creating variety in written communication.