Is it possible to re-brand an MPL licensed open source software?

Rebranding a software suite is a modification that is allowed by all open-source licenses. If you can effectively use the rebranded software in your commercial product depends on the license terms and if they would conflict with the way you want to exploit the commercial product.

The MPL license has 3 main requirements that are relevant here

• The source code must remain under the MPL license
• Recipients of the binaries must be informed of their rights and where they can obtain a copy of the source code (at a cost no higher than the actual distribution costs)
• The license on the binaries may not restrict the rights on the source code.

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Regarding the rebranded MPL software in the Debian distribution, Debian has used rebranded versions of the Mozilla applications Firefox, Thunderbird and SeaMonkey from 2006 to 2016. The rebranding was done because Debian and Mozilla had a conflict over the terms for using the Mozilla trademarks (which includes the branding).