Thank you for this wonderful opportunity.
While reviewing the design brief, i come to know that you are after " Word mark " style which is unique font purchased, designed or customized. Its possible to design the similar style font for two names. This style appeals when you have a single named or acronym product or services.
In your case it will require a symbol which can be used with your company name(s). In this case the main focus is on the image and less weight on font style because we would like the audience to remember image.
Can you please provide your kind preference in much clear way . It will help