My '06 Ford Taurus is having what i'm assuming transmission problems, any ideas?

The other day while attempting to back up a small slope, my engine revved up and a message came on the info area of my dash saying to check the transmission. I turned off the car, turned it on and the check engine light was on. I go home and check the trans fluid and it's full. The next day I start my car and the check engine light is off, but now my car shakes on heavy acceleration and gear changes. I'm not a car person. Any ideas?

Take it to the shop for diagnosis - not sure what else a non-car person or a non-transmission mechanic type person is going to do anyway- you did what you could by checking the trans fluid…

Torque converter is going out.