Roscosmos has said that a faulty sensor caused the failure and that it believes Soyuz rockets will resume launching in December, when a three-person crew at the International Space Station must return to Earth.
"Roscosmos" has posted a video of the accident "Soyuz-FG" with the camera attached to the rocket.
Executive director of Russia's Roscosmos space agency Sergei Krikalyov said Wednesday that the root of the problem was a sensor that indicated the separation of the first two stages of the Soyuz rocket.
Last week, Russian Federation successfully launched a Soyuz rocket for the first time since the failure.
He said additional checks were being introduced into the rocket assembly process.
"The cause of a non-standard separation" was a "deformation" of a part during assembly, Skorobogatov told a news conference at Russia's mission control outside Moscow.
Hague and Ovchinin were due to spend six months on the ISS.
Skorobogatov said the Soyuz's central block was hit "in the fuel tank area, causing a depressurisation and, as a result, a loss of the space rocket's stabilization". More recently, Russia's space program has been dogged by a string of failed satellite launches involving unmanned vehicles.
Krikalyov said the astronauts now on the ISS - Alexander Gerst of the European Space Agency, NASA's Serena Aunon-Chancellor, and Sergey Prokopyev of Roscosmos - are expected back on Earth "around December 20".
A new manned space mission is expected to be launched on December 3 while an unmanned Progress cargo spaceship will be sent to the ISS on November 16.
The crew is set to include Canadian astronaut David Saint-Jacques, who was originally scheduled to fly to the station December 20 on a six-month mission.
"It has been proven and supported by the documented evidence that the sensor [failure] is to blame for the accident", said the the commission chief Oleg Skorobogatov.