Hello @RTM
If I am not mistaken Asynchronous mainly just means SQL does not wait for the commit before sending the data to the secondary copy. From a backup/recovery standpoint there is not much change.
If you have SQL AG client configured it will still backup full on primary and secondary copy is still in replicated state meaning so backups will not complete from both DR and primary. You can not backup both primary and secondary at same time.
Note in this setup check your AG backup preference in SQL. If its set to secondary tlog backups will run on that secondary node and possibly pull data over the WAN which may not be preferred. Set to prefer primary if primary replia and MA are in same location.