What would be the best icons to represent something done in the current time frame or now and something that will be done in the future?
I thought I would answer to provide a suggestion, but mostly to highlight a resource you may be unaware of: The Noun Project. It's a great site when stuck for icon inspiration.
In this case the noun project site most usually selects a clock face for "now". And a clock face with an arrow for "future"
It's also worth noting that both these icons can be achieved with font-awesome by using:
<i class="fa fa-clock-o" aria-hidden="true"></i> <i class="fa fa-history fa-flip-horizontal" aria-hidden="true"></i>