I found this on immunize BC hope this helps you.

The Moderna bivalent COVID-19 vaccine targets the original COVID-19 virus strain and the Omicron BA.1 subvariant. This vaccine is expected to provide better protection against Omicron subvariants (including against BA.4 and BA.5) than the original COVID-19 vaccines.

In clinical trials, a booster dose of the Moderna bivalent vaccine triggered a strong immune response against Omicron BA.1 and the original COVID-19 virus strain (the two strains it targets). It also generated a strong immune response against the Omicron BA.4 and BA.5 subvariants.

With the new Pfizer bivalent BA.4/BA.5 vaccine recently approved, people may wonder if it is superior to the Moderna bivalent BA.1 vaccine. At this time there are no clinical data available comparing the immune response from the BA.1 bivalent vaccine to that from the BA.4/BA.5 bivalent vaccine. There is no evidence that the Pfizer bivalent is better than the Moderna bivalent vaccine. Both Omicron-containing COVID-19 vaccines have been shown to cause stronger immune response to Omicron variants and compared to original mRNA vaccines.

As the original mRNA COVID-19 vaccines are very effective at protecting against severe illness and death from COVID-19, it is expected that the bivalent vaccines will also be very effective at protecting against severe illness and death from COVID-19.