Here's what the Zoho Mail App for Mobile looks like.

When setting up a distribution list, if the Streams option is selected, these will appear in the mailbox app under Streams.  Any shared mailboxes will also appear on the app under Streams.

You can see all of the folders which you've got set up and move emails into these.  The folders need to be set up on the desktop app.

Here's what the inbox looks like:

And this is what an email looks like:

Writing emails is straight forward, and you've got access to your contacts to be able to insert them into your new email: