Both terms involve change, but their characteristic focus differs.
PropertyMain questionExample
TaṣyīrWhat was made into a new state?أَشْرَكْتُ النَّعْلَ
ṢayrūrahWhat did the subject become?أَلْبَنَتِ النَّاقَةُ
ṢayrūrahWhat condition did it acquire?أَجْرَبَ الرَّجُلُ
The sandal example concerns making something strap-equipped; the latter examples report conditions of the subjects themselves.