If they pass two different versions of the Bill, then it must go to conference to iron out the differences before it can be sent back to both the House and Senate for approval (a single Bill), then, if passed by both chambers, it is send to the Gov for signing.
Receding to the Senate is done, but must pass conference first.
You will see the bill does not necessarily have to go to conference committee, nor does it necessarily have to go back to the Senate.
The House could approve of the Senate version, then off to Governor Abbott.