From a page move: This is a redirect from a page that has been moved (renamed) or is the result of a page move. One reason this page was kept as a redirect is to avoid breaking links, both internal and external, that may have been made to the old page name. Any redirect with a page move logged on its history page should be tagged with this rcat template.
From a modification: This is a redirect from a modification of the target's title or a closely related title. For example, the words may be rearranged.
Please note that there are many more specific templates. Please use {{R from alternative spelling}} for spelling changes (including punctuation and spacing); see subcategories of Category:Redirects from modifications for other options (capitals, abbreviations, diacritics, plurals, stylizations, transliteration, ligatures, different parts of speech, etc.). If you are unsure which to use, this template is fine; someone will make it more specific later if necessary.
In cases of modification from distinctly longer or shorter names, please use {{R from long name}} or {{R from short name}}, respectively. An abbreviation should be tagged with {{R from initialism}} or, if it can be spoken like a word such as NASA and RADAR, use {{R from acronym}}.
Use this rcat instead of {{R from other capitalisation}} and {{R from plural}} in namespaces other than mainspace for those types of modification. This may also apply to several other subcategories of modification; please check those templates' output before saving if using outside of mainspace.
Shortcuts are wikilinked on community pages, talk pages, and edit summaries, but not in mainspace articles. Transclusions in mainspace are common and do not need to be "fixed".
When appropriate, protection levels are automatically sensed, described and categorized.
