Drupal 7.x

Suppose group type is : group
group post type is : post
1, for group
Navigate to rules management page. You will see "breadcrumb for node view" rule, clone it.
Add an condtition "node type is ", choose "group". Choose the term field that you want to generate breadcumb base on.Here you could choose [node:field_your_term_field].Get all parent terms for this term.
Add a loop.
then add action "breadcrumb2_append_breadcrumb_trail" in the loop.

2, for post:
Navigate to rules management page. You will see "breadcrumb for node view" rule, clone it.
Add an condtition "node type is ", choose "post".
Choose the term field that you want to generate breadcumb base on, Here you could choose [node:og_group_ref:field_your_term_field].Get all parent terms for this term.
Add a loop.
then add action "breadcrumb2_append_breadcrumb_trail" in the loop.

you could add action "breadcrumb2_append_breadcrumb_trail" as many as you need in your rules edit page.You could do it with the same way for other content types, or views pages.

Beadcrumb2 add several rules actions:
1,Append breadcrumb trail
2,Fetch lightest term from node
3,Taxonomy get parents all
4,Get argument from Drupal path
5,elete breadcrumb by path
6,Disable breadcrumb
7,Menu get active trail
8,Menu set active menu names

Add 2 rules conditions:
1, Breadcrumb object already exist.
2, Internal path is.

The idea is generate breadcrumb entity for current page on the fly base on rules. With the actions and conditions provided by Breadcrumb2 module, combine the exsting power of rules and 3rd party module, It could solve various of breadcrumb issues.

Default we use taxonomy/term/[tid] as the term path.

If you have a content type "Book", you want to change the page to "books/category/[tid]", you could do it in this way.
1,Navigate to rules management page. You will see "breadcrumb for node view" rule, clone it.
2,Add an condtition "node type is ", choose "Book".
3,then edit action "breadcrumb2_append_breadcrumb_trail" in the loop, on action edit page, Change URL from "taxonomy/term/[parent-term:tid]" to "books/category/[parent-term:tid]".
4,save it.

The directly purpose that I create breadcrumb2 module is that I want to change the path of term in breadcrumb. By using custom breadcrumb2 module, it is very difficult to do this.Then I build breadcrumb2 to make it easy.