This helps, but there's a time lag, and the person you voted for does not know why you voted for them over the other party. Letting your congressperson know that you care about it by calling them or writing them directly is much, much more effective at getting policies you care about implemented. You should vote (in every election!) because they know who votes and who doesn't, and want to make voters happy -- but you also need to know that this is an issue of interest to you.
Right now, here's a very straightforward way to do that for climate change: https://citizensclimatelobby.org/senate/