When you match the properties from one piece of text to another by default it matches the rotation angle and text size. If you simply want to match the layer of one piece of text to another without affecting other text properties such as rotation angle and text size, follow these simple steps:

Click the Match Properties button (or type the MATCHPROP command) and select the source text. Then before you select anything, type S on the command line and uncheck the “Text” checkbox in the Property Settings dialog box.

Then select other text objects and only the layer name will be matched.