Does a 2005 Lincoln aviator have a recall on transmission

What is your question?

It takes off ok but then rpms start to go up and u take your foot off gas they will go back down and it will kick in to next gear and be fine besides check transmission light comes on if u stop and turn it off and then start it again and put it in gear again to drive it sometimes it will do again sometimes it won’t My boss claimed it’s been doing this since it was at 60,000 miles he had it looked at and they said it might go out it might not and he bought it brand new off the lot

What makes this problem better or worse?

Nothing

How long has your 2005 Lincoln Aviator had this problem?

Since it came off the car dealer lot