personally I believe the Germans could have taken or put Moscow under siege by the troops they had originally in 1941, by

a. taking better care not to let the Red Army troops slip out of the envelopments once Typhoon started ( this especially true of the cavalry divisions )

b. Concentrating all operations towards Moscow ( there were also operations of AGC eastwards which did not help the troops going to Moscow )

c. Getting the winter clothing to the forward troops

It is a different matter whether they could have held on, but then again if Stalin decides to stay he would be captured in Moscow.....if Stalin decides to leave the defence of Moscow collapses probably....

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