This will likely be due to the new index that was released, your domain authority is relative to the index and sites contained in the index. The new index was smaller, but is now fixed and will likely give you more accurate figures.

https://moz.com/community/q/new-mozscape-index-released-learn-just-what-s-been-going-on

https://moz.com/blog/mozscape-index-2015

Personally I am not massively familiar with Alibaba, however, if it is anything like Google in the organic SERPS, then just because you have your star rating in place does not mean it will be displayed. Keep the ratings scheme on the chance things change and it gets displayed in the future.

I am certainly interested to see how the new DA correlates with rankings and competitors. exciting time

I did a few things like this from my time at VOW, Caboodle and the Post Office Shop. It is really more of a user preference thing than either selecting one over another.

What works best for your content - is it text or image intensive when it comes to your product listings, I often found if there was more image than text - a grid worked better, and vice versa if there was more text.

Also consider mobile - a list solution may be the best option on a smart phone and grid on a tablet.

The optimum solution in my opinion would be to allow the consumer/user to select their preferred layout. You could implement this as a checkbox/button that simply switches the css to display in either grid or list format.

Hmmmm, I think it could slightly affect the internal linking structure and possible mean the loss of important pages being linked together.

However my main concern would be to regular users from a UX perspective. You are clearly going to be making people work a lot harder to find regular content that is possbly the bread and butter traffic for the site. Rather than changing the menu, would it not be better to implement a "New Item" in the menu structure rather than changing it all. Or have a feature banner.

Hope this helps a little.

I would think the best way to resolve this issue would be to apply schema data to the relevant products or recipes. This will then allow google to determine the correct placement for the respective items.

For recipe schema click here and
For product schema click here

At the base of each section it demonstrates how to implement the schema correctly.

I hope these help

Edit - as per Amelia, recipies placed next to products and vice versa could lead to a better user experience due to the relevent content being easily accesible.

Along side your content for your blog, ensure you try to answer commonly asked questions, this can help to position you in P0 (knowledge area) if answered well.

A great tool to use is answerthepublic.com where you can see what common questions are asked around you main terms. Adding this great unique content either on a blog or selection of FAQs could be beneficial.

In your Htaccess file. set up a rule to redirect using 301.

Something along the lines of the below depending on how your file name and links are structured.

redirect 301 /old-url-link/pagename.html     /new-url-link/pagename.html