Apache error on SuSE : Invalid command RewriteEngine, perhaps misspelled

It seems that AuthType is provided by the mod_authn_core in Apache 2.4. I don't see that module loaded in the list you provided.

In the page you linked to, it contains this text:

The module argument can be either the module identifier or the file name of the module, at the time it was compiled. For example, rewrite_module is the identifier and mod_rewrite.c is the file name. If a module consists of several source files, use the name of the file containing the string STANDARD20_MODULE_STUFF.

Using the example provided, the rewrite module can either be referred to as 'rewrite_module' (identifier) or mod_rewrite.c (filename). Both are equivalent, and there is no difference. You can use either.

The module with the source file mod_rewrite.c, gets compiled into mod_rewrite.so, which is what you'll have on your filesystem. This source file has the line 'module AP_MODULE_DECLARE_DATA rewrite_module;' in it, which declares a module called 'rewrite_module'.

The module can be referred to either as 'rewrite_module', which is the identifier, or 'mod_rewrite.c', which is the source file it was compiled from.

The 'LoadModule' line tells it to load the module with the identifier 'rewrite_module' from the already-compiled object mod_rewrite.so. When you configure this, you can either refer to the identifier or the source file name if you know it.