control two 2.85A DC motors

I am trying to control two DC motors (2.85A)with TLC5940NT + some kind of H-bridge.
First time I looked at L293D series, But they only support up to 60ma.

Any suggestion for right H- bridge?

First time I looked at L293D series, But they only support up to 60ma.

What makes you think that?
What ever it is you are miss reading it.

Try this one:-