Info 2 Stock email app not updating notifications

Hi all,

I have two email accounts one gmail and one corporate/exchange one and with both accounts I have the same problem with the stock email app. While I receive new email notifications, if I open the emails and read it from the pc the notification in my phone stays there. Also the email icon shows that I have x number of new emails while in fact I have none because I have already read them from my PC. I was using K9 and I have never had this problem but I din't like it and it was draining the battery ,so it is not an option. If there is a workaround for this please let me know. Also please recommend, if you know, any good alternatives to stock that are lightweight and battery friendly.

Thanks!