The aim of the Transformation Tool Contest (TTC) series is to compare the expressiveness,the usability, and the performance of transformation tools along a number of selected casestudies. A deeper understanding of the relative merits of different tool features will help tofurther improve transformation tools and to indicate open problems.These proceedings gather the cases and solutions developed by the contest participants ofthe thirteenth and fourteenth editions. Both editions were part of the Software Technologies:Applications and Foundations (STAF) federation of conferences during 2020 and 2021. Teamsfrom the major international players in transformation tool development participated in anonline setting owing to the pandemic. Thus, these are the pandemic proceedings of the TTCseries.