  The restricted partitions in which the largest part is less than or equal to
$N$ and the number of parts is less than or equal to $k$ were investigated by
Andrews in \cite{Andrews76}. These partitions were extended recently by the
author to the partitions into parts of two kinds. In this paper, we use a new
class of restricted partitions into parts of two kinds to provide new
combinatorial interpretations for two identities of Guo and Yang.
