Both of them are effective systems for bacterial identification but I think PCR is more accurate for this purpose. This link shows you a comparative study for microorganisms identification : https://ann-clinmicrob.biomedcentral.com/articles/10.1186/s12941-016-0158-9
Consider that in text book, gold standard of detection of bacteria is culture. Because in culture you can confirm antibiotic susceptibility test.
By the way, scientist trying to improve molecular method for detection why so these methods are fast but there is many problem for example presence of resistance gene is not reason to bacteria being resistance.
I agree with @Alaa Kareem Niamah 16S rDNA gene sequencing is more accurate than VITEK and PCR but if you want rapid identification then VITEK is suitable for you
Vitek is designated for use as automated system in routine microbiology work. This means that this system is able to identify most of the clinically relevant bacteria in a (semi-)automated way with manageable cost and without the need for a molecular unit. For the routine setting, this is usually sufficient. Saying this it depends on what you are going for (routine diagnostics, research, …). In our routine microbiology lab, we use Phoenix or MALDI for identification and Phoenix or disc diffusion or susceptibility testing. 16S PCR is applied in very specific cases, only. If going with 16S PCR be aware that it is not suitable for all taxa. Enterobacteriaceae, oral streptococci and some others may require at least full length sequencing of 16S, or even other gene loci.