In machine translation (feel free to improve) from a rather lengthy "fact check" (in German) by Agence France-Presse (oddly enough) that also covers many other topics:
Will Pfizer employees in Australia receive separate batches of vaccine?
Finally, the video refers to the allocation of vaccine batches in Australia. According to this, Pfizer employees and their families would receive different batches under the so-called "Pfizer Australia employee vaccination program" than the general population. This is according to data from the Australian pharmaceutical regulator, the Therapeutic Goods Administration (TGA).
The Pfizer employee program does exist. [...] However, the vaccines used there are the same as those given to the Australian population. When asked by AFP on February 7, a TGA spokesman said: "The batches used as part of the Australian vaccination program for Pfizer employees are no different from the other vaccine batches supplied and the batches used for the general population in Australia were used."
In addition, some batches from the Pfizer program were also used in the general population. The spokesman continued: "All batches of Pfizer Corona vaccine, including those supplied as part of Pfizer Australia's employee immunization program, must be manufactured in accordance with TGA assessed and approved GMP certified manufacturing practices."
The current TGA list now also includes an addition to employee batches. They are now marked as "OCABR Reviewed". This is a separate process in which vaccine batches in the EU are tested and certified by testing authorities in the OCABR network, such as the Paul Ehrlich Institute. A spokesman for the TGA confirmed that the deliveries for the Pfizer program had also been checked by the European OCABR. Countries outside Europe also use the certificates from Europe for vaccine testing, explains the European Directorate for the Quality of Medicines (EDQM) on its website.
The TGA spokesman explained the addition to the TGA list: The test process was described in more detail on the website in order to "avoid the false assumption that no batch test was carried out". However, the status of the batches has not changed.
The test does not necessarily have to be carried out by the TGA if a trustworthy laboratory abroad has already tested the batch. According to the TGA spokesman, there were no problems with the OCABR test. If the OCABR test is successful, the vaccine batches can also be used in Australia.
There is no evidence for the differences claimed [by "Klagemauer TV" website] in vaccine batches.