in order to make us familiarized with your products,we shall

we shall appreciate "your" giving us the details of them = we shall appreciate that you give us the details of them.
类似的句子还有：
I thank you for your helping me.= I thank you for that you helped me.
I really appreciate your doing me that great favour yesterday
=I really appreciate that you did me that great favour yesterday
这是英语的一种表达方式,习惯了就好了

appreciate doing
感谢某事
后面跟动名词，动名词就是动词的名词化形式，用法同名词，名词不是有“你的”“我的”的词可以修饰吗？你的、我的、她们的这种词叫做形容词性物主代词，作后面名词的定语。动名词相当于名词，前面也可以用形容词物主代词，你给我们的。。就是your giving...