Synapse is a service provider of Rho. Generally when wires are sent, there is additional information after the 'Synapse Financial Technologies' text, but there are times receiving banks parse it out, or shorten it.
To ensure your wire transactions show your company name, we suggest providing details in the memo/note section to include information "Sent from [Insert Business Name Here]. "
Additionally, ACH's show this information more clearly than wires, if you want to try sending that type of transaction instead.