Claudio Ranieri's expensively assembled side followed up their opening day's 2-0 victory over Bordeaux with another success.
Ranieri is clearly delighted with Monaco's start to the league season, as they look to mount a challenge to champions Paris Saint-Germain.
"At the moment, it's perfect, two matches, six points," said the Italian, whose side trail Lyon by one goal at the top of Ligue 1.
"I'm satisfied, it's important to win but also to play well and I'm happy about that. As for Riviere, well he trains every day with character and professionalism and he's in good shape physically and mentally," added Ranieri.
Meanwhile, Ranieri has moved swiftly to quash media speculation that Falcao is about to be transferred from the club.
"They are just rumours, always rumours and just to make up stories. Falcao is staying here, he's happy and his daughter was born here."