First, find the groups you want to change and give us the group email name and the value:
[PS] Get-DistributionGroup |Where {$_.alias -like "verse*"} |select name,RequireSenderAuthenticationEnabled
(where "*" is anything. So *foo is barfoo but not food. And foo* is foobar and food but not barfoo.)
Let at the results and see if these are the groups you want changed.
Next, get the groups and change the value you want changed:
[PS] Get-DistributionGroup |Where {$_.alias -like "verse*"} |Set-DistributionGroup -RequireSenderAuthenticationEnabled $false