Unfortunately, when you're using the out of the box alerts they're pretty fixed in terms of how they look and feel. What I have done in the past though, is manage the approval process myself. So rather than use the Start and Wait for Approval, I will create an approval, perform the necessary notifications, and then wait for the response to come in.
In my email, I have included all of the content that I would want such a the description, a link to the item etc. I can't replicate the response buttons, but I can provide a link to the page in the Approval Center where the item can be approved.
Finally, I need to make sure that I use the Wait for approval action in order to make the flow wait for a response to be submitted.
I hope that helps
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