Not yet he hasn't. We finished 6th last year and won a couple of minor cups. We had finished higher in the league under LVG and won a cup too. Hardly the 'from gutters to the top' story you're almost describing there.
He achieved his target of getting us to the CL, which is very good. But this season he has to make a challenge for the league and reach the CL quarter finals before I say we're a genuinely competitive team.
When he does that I'd gladly hand him an extension but he hasn't done yet so let's not get ahead of ourselves.
He's the first ever United manager to win a trophy in his first season, and you can make that 3 of them.
With a overly bizarre injury riddled squad and not so ideal player situations (Rooney etc), he definitely made the most out of what he had to work with and imo exceeded expectations.
We didn't "finish" 6th btw. José elected not to prioritize the league and took the route of Europa League instead to make CL. 2 very different things. And gutters to top not in terms of standings obviously but in terms of identity and reviving the stinking old place, giving a foundation to work with which is more than anyone did post Sir Alex and clearly was a huge task if it took this long to get done. And again he did it in 1 season, virtually doing a complete 180 with the club atmosphere and future for the better.
...and we're still a club in transition. Remember, this was a rebuild which has remarkably been sped up due to José's geniusness. Honestly speaking we shouldn't be in the position we are right now with the team. José is the reason why Pogba chose United over RM/Barca/Juve and that itself is a huge plus; having a manager with the pull he does to attract such players. Just look at the things ADM said and how no big target wanted to come anywhere close to United. José is a players coach and it's great having a bench boss who the players genuinely want to play and will give it their all for. CL has already been achieved from last year so this year I think it's safe to say top3 in EPL is his target. You can only do so much in the CL with a transitioning squad so I'd say just making it out of group stage is enough and what happens after that is just a bonus. The team isn't a finished product yet so yea. And José isn't some rookie manager who has to be monitored year by year. Already saw what he's done and is capable of. I'm sure the club isn't worried one bit in that sense and Mourinho said himself he's at a stage in his career where contract or no contract doesn't matter or really effect him as he's going to do what he's going to do regardless.