I just wanted to recreate Tekkit lite for a new Minecraft version, as they never updated it, so here it is...
Installing a modpack using the Technic Launcher is easy. If you don't already have the launcher downloaded, visit our download page to get the latest version.
Type in the modpack name (Tekkit Lite Redone 1.7.10) or paste the following url into the search box.
Finally, click Install at the bottom right of the launcher after you select Tekkit Lite Redone 1.7.10 from the list on the left. The launcher will handle everything else!