The Rangers boss made headlines this week by suggesting that he boasted the best squad in Scottish football, after signing nine new players this summer.
Celtic were ahead of their Old Firm rivals by a country mile last season as Rodgers's side finished 39 points clear of the Gers, en route to winning the Premiership without losing a single match in any domestic competition.
But the Hoops boss has suggested that talk is cheap and believes the only place where such claims can be affirmed is on the football pitch.
"I don’t need to worry about that," said Rodgers to The GET when asked about the 46-year-old's comments. "My worry is to make us the best I can.
“It’s all theory. Do your talking on the pitch. There are lots of squads, lots of talk, lots of theorists - lots of things that go around. Time will tell.
“You show your strength on the field. You play your games, you get your points, get your wins and get your performances consistently. Our measure is that we want to be the best we can be."
Celtic begin the journey toward a seventh-successive title this afternoon by facing Hearts, while Caixinha's side begin their task of challenging the Hoops with a trip to Motherwell tomorrow.