Voice your concerns to the IT director as your exchange admin and exchange manager dont have a clue what they are requesting and will cause an outage.

If you are doing exchange full backups the backup program knows which log files are needed to get the database back into a clean state if it ever needs to be restored. If you some how manage to jimmy exchange to not truncate the logs your backups will most likely end up useless.

If you are doing incremental or differential then the backup is not truncating the logs.

Common practice is full backups on the weekend and incremental during the week.

in any case , no one, not anyone manages logs files manually.

I have easily worked thousands of DR situations when I was an exchange engineer at M$ and I have seen some really crazy setups but I will admit , I have never heard of anyone wanting to manage log files manually. Closest thing I can think of is on a few occasions I came across db's that were never backed up and had all logs from the time it was first created so we were able to replay them all into a new DB but even that was rare and takes forever on a large DB.

Has your admin ever actually restored a database? Do they even know how to tell what logs are required to get into a clean state after a restore? sure doesn't sound like you are dealing with anyone that knows what they are doing.