With separate authentication methods needed for each user-group for two separate companies, I'm assuming that you'll need to have four separate tunnel-groups configured to authenticate against the total of four separate aaa servers. There are many ways to set this up including one login page and four drop-down selections (group-alias), four separate login pages (group-url), and anything in between. Because you have two separate companies connecting you'll probably want to use separate group-urls. This will allow you the functionality to customize a separate login portal for each company. You can then apply the login portal customization to both tunnel-groups associated with that company.
From there you have the option to...
1) use separate group-urls on each tunnel-group (one for each authentication method) such that all users from that company see a similarly customized login screen and no users have to select a group from a drop-down, or
2) enable group-alias on both of these tunnel-groups such that all users from the same company land on the same login portal and then users pick the appropriate drop-down for their authentication method
Here's the configuration example for group-alias and group-urls:
Whichever method you choose, it is upon landing on a tunnel-group and then being placed on an associated group-policy that your users will inherit the access permissions to reach internal network resources. The group-policy is also where you'll apply a specific AnyConnect Profile to be pushed to the AnyConnect Client. You can use the functionality of the AnyConnect Profile to lock users to specific tunnel-groups when they reconnect. By applying a different AnyConnect Profile to each group-policy (different tags) you can ensure that each set of AnyConnect users lands on the correct tunnel-group .
Note that if you choose to package AnyConnect in your own installer file you can insert your own AnyConnect Profile with the appropriate tag configured in order to place the user on a specific tunnel-group.
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