My 2013 Avalon check charging light then with the battery red light is coming on the car want start what must I do

SOURCE: 2003 toyota avalon gets check engine light and goes when idleing

Take the car to a local Auto Parts Retailer, and have them check the fault codes on your on-board computer. Given the year of your car, it is probably an OBD-2 type computer. They can print out whatever the computer diagnostic says the problem is. I am going to guess the throttle position sensor is to blame since it sounds just like what my sister's Mazda Mommyvan was doing.

SOURCE: 96 Toyota Avalon, 185000 miles, battery went dead

The radio may have a theft lock activated....unlocking it may be a pain. As for the keyless entry (assuming it's factory), make sure you start with a new battery in the remote(s) and try the steps on this page:
http://www.automotivehelper.com/topic146039.htm

SOURCE: 1998 Avalon XLS battery drain

Does The car shut off mid drive? Could be a Wiring harness problem,
I think it's you're alternator though, That would be a good reason you're battery is dieing,

How do you get the car started again?

SOURCE: vsc sensor ligth up along with check engine in avalon 2006

The crankshaft sensor need to be checked.

SOURCE: 2005 Toyota Avalon, about 100K miles on it. I am

vehicle is most likely overdue for service or has not had service indicator reset after service.