Adidas do not place a shoelace tag on the majority of their shoes; in fact, it is an uncommon feature of Adidas shoes.
To my knowledge the only Adidas shoelace tag that currently exists is the Torsion System tag; shown above. The Torsion System is an arch / midfoot support system, and it was introduced in the late 1980's. Most of the running shoes that feature the Torsion System have a Torsion System tag; most notable: ZX 8000 and ZX Flux. There may have been some other Adidas shoelace tags, but none has been as prominent or long lasting as the vibrant yellow Torsion System tag.