I have done everything I can think of and I have yet to get this mod to work.
And I have downloaded Java 7 and deleted Java 6, but Minecraft won't run Java 7. Again, i'm sorry to bother you. You must work very hard and I would appreciate it if you took the time to help me out. Thanks!
[19:28:46] [main/INFO] [LaunchWrapper]: Loading tweak class name cpw.mods.fml.common.launcher.FMLTweaker
[19:28:46] [main/INFO] [LaunchWrapper]: Using primary tweak class name cpw.mods.fml.common.launcher.FMLTweaker
[19:28:46] [main/INFO] [LaunchWrapper]: Calling tweak class cpw.mods.fml.common.launcher.FMLTweaker
[19:28:46] [main/INFO] [FML]: Forge Mod Loader version 7.10.18.1180 for Minecraft 1.7.10 loading
[19:28:46] [main/INFO] [FML]: Java is Java HotSpot(TM) 64-Bit Server VM, version 1.6.0_65, running on Mac OS X:x86_64:10.9.4, installed at /System/Library/Java/JavaVirtualMachines/1.6.0.jdk/Contents/Home
java.lang.UnsupportedClassVersionError: de/sanandrew/core/manpack/init/ManPackLoadingPlugin : Unsupported major.minor version 51.0
at java.lang.ClassLoader.defineClass1(Native Method)
at java.lang.ClassLoader.defineClassCond(ClassLoader.java:637)
at java.lang.ClassLoader.defineClass(ClassLoader.java:621)
at java.security.SecureClassLoader.defineClass(SecureClassLoader.java:141)
at java.net.URLClassLoader.defineClass(URLClassLoader.java:283)
at java.net.URLClassLoader.access$000(URLClassLoader.java:58)
at java.net.URLClassLoader$1.run(URLClassLoader.java:197)
at java.security.AccessController.doPrivileged(Native Method)
at java.net.URLClassLoader.findClass(URLClassLoader.java:190)
at net.minecraft.launchwrapper.LaunchClassLoader.findClass(LaunchClassLoader.java:115)
at java.lang.ClassLoader.loadClass(ClassLoader.java:306)
at java.lang.ClassLoader.loadClass(ClassLoader.java:247)
at java.lang.Class.forName0(Native Method)
at java.lang.Class.forName(Class.java:249)
at cpw.mods.fml.relauncher.CoreModManager.loadCoreMod(CoreModManager.java:381)
at cpw.mods.fml.relauncher.CoreModManager.discoverCoreMods(CoreModManager.java:310)
at cpw.mods.fml.relauncher.CoreModManager.handleLaunch(CoreModManager.java:211)
at cpw.mods.fml.relauncher.FMLLaunchHandler.setupHome(FMLLaunchHandler.java:90)
at cpw.mods.fml.relauncher.FMLLaunchHandler.setupClient(FMLLaunchHandler.java:67)
at cpw.mods.fml.relauncher.FMLLaunchHandler.configureForClientLaunch(FMLLaunchHandler.java:34)
at cpw.mods.fml.common.launcher.FMLTweaker.injectIntoClassLoader(FMLTweaker.java:126)
at net.minecraft.launchwrapper.Launch.launch(Launch.java:114)
at net.minecraft.launchwrapper.Launch.main(Launch.java:28)
[19:28:46] [main/ERROR] [FML]: An error occurred trying to configure the minecraft home at /Users/mac/Library/Application Support/minecraft for Forge Mod Loader
java.lang.UnsupportedClassVersionError: de/sanandrew/core/manpack/init/ManPackLoadingPlugin : Unsupported major.minor version 51.0
at java.lang.ClassLoader.defineClass1(Native Method) ~[?:1.6.0_65]
at java.lang.ClassLoader.defineClassCond(ClassLoader.java:637) ~[?:1.6.0_65]
at java.lang.ClassLoader.defineClass(ClassLoader.java:621) ~[?:1.6.0_65]
at java.security.SecureClassLoader.defineClass(SecureClassLoader.java:141) ~[?:1.6.0_65]
at java.net.URLClassLoader.defineClass(URLClassLoader.java:283) ~[?:1.6.0_65]
at java.net.URLClassLoader.access$000(URLClassLoader.java:58) ~[?:1.6.0_65]
at java.net.URLClassLoader$1.run(URLClassLoader.java:197) ~[?:1.6.0_65]
at java.security.AccessController.doPrivileged(Native Method) ~[?:1.6.0_65]
at java.net.URLClassLoader.findClass(URLClassLoader.java:190) ~[?:1.6.0_65]
at net.minecraft.launchwrapper.LaunchClassLoader.findClass(LaunchClassLoader.java:115) ~[launchwrapper-1.9.jar:?]
at java.lang.ClassLoader.loadClass(ClassLoader.java:306) ~[?:1.6.0_65]
at java.lang.ClassLoader.loadClass(ClassLoader.java:247) ~[?:1.6.0_65]
at java.lang.Class.forName0(Native Method) ~[?:1.6.0_65]
at java.lang.Class.forName(Class.java:249) ~[?:1.6.0_65]
at cpw.mods.fml.relauncher.CoreModManager.loadCoreMod(CoreModManager.java:381) ~[forge-1.7.10-10.13.0.1180.jar:?]
at cpw.mods.fml.relauncher.CoreModManager.discoverCoreMods(CoreModManager.java:310) ~[forge-1.7.10-10.13.0.1180.jar:?]
at cpw.mods.fml.relauncher.CoreModManager.handleLaunch(CoreModManager.java:211) ~[forge-1.7.10-10.13.0.1180.jar:?]
at cpw.mods.fml.relauncher.FMLLaunchHandler.setupHome(FMLLaunchHandler.java:90) [forge-1.7.10-10.13.0.1180.jar:?]
at cpw.mods.fml.relauncher.FMLLaunchHandler.setupClient(FMLLaunchHandler.java:67) [forge-1.7.10-10.13.0.1180.jar:?]
at cpw.mods.fml.relauncher.FMLLaunchHandler.configureForClientLaunch(FMLLaunchHandler.java:34) [forge-1.7.10-10.13.0.1180.jar:?]
at cpw.mods.fml.common.launcher.FMLTweaker.injectIntoClassLoader(FMLTweaker.java:126) [forge-1.7.10-10.13.0.1180.jar:?]
at net.minecraft.launchwrapper.Launch.launch(Launch.java:114) [launchwrapper-1.9.jar:?]
at net.minecraft.launchwrapper.Launch.main(Launch.java:28) [launchwrapper-1.9.jar:?]
Exception in thread "main" java.lang.UnsupportedClassVersionError: de/sanandrew/core/manpack/init/ManPackLoadingPlugin : Unsupported major.minor version 51.0
at java.lang.ClassLoader.defineClass1(Native Method)
at java.lang.ClassLoader.defineClassCond(ClassLoader.java:637)
at java.lang.ClassLoader.defineClass(ClassLoader.java:621)
at java.security.SecureClassLoader.defineClass(SecureClassLoader.java:141)
at java.net.URLClassLoader.defineClass(URLClassLoader.java:283)
at java.net.URLClassLoader.access$000(URLClassLoader.java:58)
at java.net.URLClassLoader$1.run(URLClassLoader.java:197)
at java.security.AccessController.doPrivileged(Native Method)
at java.net.URLClassLoader.findClass(URLClassLoader.java:190)
at net.minecraft.launchwrapper.LaunchClassLoader.findClass(LaunchClassLoader.java:115)
at java.lang.ClassLoader.loadClass(ClassLoader.java:306)
at java.lang.ClassLoader.loadClass(ClassLoader.java:247)
at java.lang.Class.forName0(Native Method)
at java.lang.Class.forName(Class.java:249)
at cpw.mods.fml.relauncher.CoreModManager.loadCoreMod(CoreModManager.java:381)
at cpw.mods.fml.relauncher.CoreModManager.discoverCoreMods(CoreModManager.java:310)
at cpw.mods.fml.relauncher.CoreModManager.handleLaunch(CoreModManager.java:211)
at cpw.mods.fml.relauncher.FMLLaunchHandler.setupHome(FMLLaunchHandler.java:90)
at cpw.mods.fml.relauncher.FMLLaunchHandler.setupClient(FMLLaunchHandler.java:67)
at cpw.mods.fml.relauncher.FMLLaunchHandler.configureForClientLaunch(FMLLaunchHandler.java:34)
at cpw.mods.fml.common.launcher.FMLTweaker.injectIntoClassLoader(FMLTweaker.java:126)
at net.minecraft.launchwrapper.Launch.launch(Launch.java:114)
at net.minecraft.launchwrapper.Launch.main(Launch.java:28)

so... I close this for now. Feel free to re-open it if you couldn't install Java 7 on your mac.

[19:28:46] [main/INFO] [FML]: Java is Java HotSpot(TM) 64-Bit Server VM, version 1.6.0_65

You still have Java 6 installed, uninstall it.

Here, I googled some infos:
http://www.java.com/en/download/help/mac_install.xml
http://www.java.com/en/download/help/mac_java_update.xml