The Red Devils are sitting in second place in the table and level on points with Premier League leaders Manchester City following six victories in seven games this term.
Manchester United have netted 21 times and have conceded two goals to underline their status as one of the title favourites in the 2017-18 season.
Liverpool made an impressive start to the season after scoring eight times in their opening three games but have only managed to record one win in their last four outings in the Premier League.
The Reds have conceded 12 goals in their opening seven fixtures to raise serious concerns about their defence ahead of the visit of the Premier League’s second-most prolific team.
Mourinho was criticised last term when Manchester United adopted a negative approach to their trip to Anfield as the Red Devils held free-scoring Liverpool to a dour goalless draw.
However, the Red Devils boss is adamant that Manchester United have made substantial progress over the past 12 months ahead of their litmus test at Anfield this weekend.
“I think we are a better team [than we were],” Mourinho told Sky Sports.
“You can say, like some people do, we have not played one of the top five teams but last season we did not beat West Ham at home, last season we did not beat Everton at home or Southampton away.
“I think it would be unfair to say Lukaku and Matic did not make an impact, we have to admit that and give them what they deserve.
“But also the team give Matic and Lukaku the conditions to arrive the way they have.
“Globally we are a better team, does that mean we are going to be as successful as last season, winning two titles? I don’t know. But we are better.”
Liverpool and Manchester United drew both of their Premier League games last term.
MORE: Man United latest news
MORE: Arsenal latest news
MORE: Chelsea latest news
MORE: Liverpool latest news