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Thames Valley Police are appealing for witnesses after six men used a 4x4 vehicle to drive through the front entrance of the property.
It was revealed on Saturday that the men then helped themselves to silverware earned by Red Bull, winners of the F1 constructors' title four years in a row from 2010, during a robbery in which nobody was injured.
Team principal Christian Horner said: "We are obviously devastated by this serious factory break-in, which saw offenders drive a vehicle through our front entrance and steal more than 60 trophies which took years and hard work to accumulate.
"The break-in caused significant damage and was very upsetting for our night officers who were on duty at the time. The offenders took items that not only did not belong to them, but which represented the efforts of a group of dedicated, hard-working individuals.
"Beyond the aggressive nature of this break-in, we are perplexed why anyone would take these trophies.
"The value to the team is of course extraordinarily high due to the sheer hard work and effort that went into winning each and every one. But their intrinsic value is low; they would be of little benefit to those outside of the team and, in addition to that, many of the trophies on display were replicas.
"The actions of these men mean it's likely that we will have to make our site less accessible in the future, which will be unfair on the hundreds of fans that travel to visit our factory each year to see our trophies and our Formula One car.
"We would like to appeal to anyone who knows any information on the whereabouts of these trophies or the offenders involved to contact Thames Valley Police."