Jelly, 25 bytes
ṫi¥³ḣi
L2ṗŒ!瀵ạ2\S€ỊḄµÞṪ
A full program taking the bit-strings using 1 and 2* as lists. The arguments are from and to. The program prints a list of lists of the same.
* 0 and 1 may be used instead at the cost of a byte (add ’ between L2ṗ and Œ!ç€... to decrement).