Modern version of this product?...

In recent decades, I think lanolin has been gradually removed from shampoos because it is very difficult to remove from hair.

This is going to come across as a bizarre suggestion, but you might want to try pet stores. Lanolin shampoos are very often made for pets because lanolin comes from sheep..... sheep.. dogs... sheepdogs...

I searched for alternatives based on the ingredients Sodium Lauryl Sulfate (main cleanser) and Lanolin, found in your Lustre shampoo. I think Sodium Lauryl Sulfate shampoos are hard to find because they've all been substituted with cleansers beginning with "Ammonium".  

LUSH has a shampoo bar with both Sodium Lauryl Sulfate and Lanolin. This is close.
Lanolin shampoos from Australia (Disclaimer: I have never ordered from them, use link responsibly)
Here's a pet shampoo that is similar

This is harder than I thought!

Hope this helps
Anais

Thank you Anessa  I hope you find what you're looking for.

Anais