Your chances of receiving a useful answer depend on providing sufficient information for people to know exactly what you have done so far. You fail to specify: what version of LO and what OS you are using; whether you are referring to a built-in, third-party or self-created template; how you installed and initiated this template; the exact steps you have taken so far to insert what you have in the template so far; in what ways suggestions people have already made do not meet your needs…
Now, in LO 3.5.3 running in OSX 10.7, in Writer, I was able to open a new document with File>>New>>Business Cards. This opens a dialogue box with multiple tabs. Under the "medium’ tab, I can select from a range of brands and types, including Avery. Under the ‘Private’ and ‘Business’ tabs I can add specific content. Under the ‘Options’ tab, I can choose ‘entire page’ or ‘single label’, and set it to ‘Synchronize contents’. It also opens a ‘Synchronize labels’ button which floats over the page. I was able to insert an image in the first label with Insert>>Picture>>From file, and set it to be a background behind the text with Right-click>>Wrap>>In background. This could be copied to every label by clicking on the ‘Synchronize labels’ button (as was mentioned to you in a previous answer).
However, I have no way of knowing whether this is related to how you are going about things.