What does THiS sentence mean?

Question

However the authors claim for themselves the credit for the name and the recognition that there is ‘a shape to what is happening’ and that it is shifting the welfare responsibility mix.

I'm a foreigner.

(English to english translation please.)

The three founding principles of the LEGO model are:
• identification and action on new social risks posed by the economy and labour market
• equality of opportunity
• participation

When further explained, these principles mirror the key social investment principles, without the emphasis on economic and social policy integration.

Answer 1

I'm a lifelong English speaker and I'm having an interesting time with the sentence.

I think it means that the writer of the sentence is saying that the authors (of whatever it is) are claiming they came up with the label for what the authors are talking about. The authors are also claiming that they were the ones that realized that "there is 'a shape to what is happening' and that is shifting the welfare responsibility mix."

In plainer language, the authors are saying they found whatever it is first, they named it and anyone who says they did it first are wrong.

Answer 2

the authors claimed, for their own credit, their name, and recognition the following: there is no shape in what is happening, and that it [reffering to whatever is in context]is shifting the welfare responsibility.

You can actually google the exact sentence and find some information of it.

Answer 3

whatever is happening theres a cause thus the cause serving the purpose the "shape"