It would be better if it were not in the passive, yes.
Try this ... or some variation:
___ designed this logo to distinguish religious organizations in their letterhead, advertisements.
The ___ would be where you'd put the designer's name (or maybe the company for which he/she works).
Does this sentence flow? Word does not like can be recognized says it sounds passive.
The logo design is created for religious organizations for letterhead, advertising material, by which the organization can be recognized.
3 answers
___ designed this logo to distinguish religious organizations in their letterhead and advertisements.
This logo was designed for religious orgizations to be used for letterhead, advertising and serve as an icon to recognized by.