Here is the crashreport:

---- Minecraft Crash Report ----
// I just don't know what went wrong :(

Time: 30/11/14 4:07 PM
Description: There was a severe problem during mod loading that has caused the game to fail

cpw.mods.fml.common.LoaderException: java.lang.NoClassDefFoundError: binnie/core/machines/TileEntityMachine
at cpw.mods.fml.common.LoadController.transition(LoadController.java:162)
at cpw.mods.fml.common.Loader.preinitializeMods(Loader.java:515)
at cpw.mods.fml.client.FMLClientHandler.beginMinecraftLoading(FMLClientHandler.java:239)
at net.minecraft.client.Minecraft.func_71384_a(Minecraft.java:480)
at net.minecraft.client.Minecraft.func_99999_d(Minecraft.java:867)
at net.minecraft.client.main.Main.main(SourceFile:148)
at sun.reflect.NativeMethodAccessorImpl.invoke0(Native Method)
at sun.reflect.NativeMethodAccessorImpl.invoke(NativeMethodAccessorImpl.java:57)
at sun.reflect.DelegatingMethodAccessorImpl.invoke(DelegatingMethodAccessorImpl.java:43)
at java.lang.reflect.Method.invoke(Method.java:606)
at net.minecraft.launchwrapper.Launch.launch(Launch.java:135)
at net.minecraft.launchwrapper.Launch.main(Launch.java:28)
Caused by: java.lang.NoClassDefFoundError: binnie/core/machines/TileEntityMachine
at java.lang.Class.getDeclaredConstructors0(Native Method)
at java.lang.Class.privateGetDeclaredConstructors(Class.java:2585)
at java.lang.Class.getConstructor0(Class.java:2885)
at java.lang.Class.newInstance(Class.java:350)
at binnie.core.machines.MachineGroup.(MachineGroup.java:28)
at binnie.genetics.machine.ModuleMachine.preInit(ModuleMachine.java:23)
at binnie.core.BinnieCoreMod.preInit(BinnieCoreMod.java:120)
at binnie.genetics.Genetics.preInit(Genetics.java:44)
at sun.reflect.NativeMethodAccessorImpl.invoke0(Native Method)
at sun.reflect.NativeMethodAccessorImpl.invoke(NativeMethodAccessorImpl.java:57)
at sun.reflect.DelegatingMethodAccessorImpl.invoke(DelegatingMethodAccessorImpl.java:43)
at java.lang.reflect.Method.invoke(Method.java:606)
at cpw.mods.fml.common.FMLModContainer.handleModStateEvent(FMLModContainer.java:513)
at sun.reflect.GeneratedMethodAccessor3.invoke(Unknown Source)
at sun.reflect.DelegatingMethodAccessorImpl.invoke(DelegatingMethodAccessorImpl.java:43)
at java.lang.reflect.Method.invoke(Method.java:606)
at com.google.common.eventbus.EventSubscriber.handleEvent(EventSubscriber.java:74)
at com.google.common.eventbus.SynchronizedEventSubscriber.handleEvent(SynchronizedEventSubscriber.java:47)
at com.google.common.eventbus.EventBus.dispatch(EventBus.java:322)
at com.google.common.eventbus.EventBus.dispatchQueuedEvents(EventBus.java:304)
at com.google.common.eventbus.EventBus.post(EventBus.java:275)
at cpw.mods.fml.common.LoadController.sendEventToModContainer(LoadController.java:208)
at cpw.mods.fml.common.LoadController.propogateStateMessage(LoadController.java:187)
at sun.reflect.NativeMethodAccessorImpl.invoke0(Native Method)
at sun.reflect.NativeMethodAccessorImpl.invoke(NativeMethodAccessorImpl.java:57)
at sun.reflect.DelegatingMethodAccessorImpl.invoke(DelegatingMethodAccessorImpl.java:43)
at java.lang.reflect.Method.invoke(Method.java:606)
at com.google.common.eventbus.EventSubscriber.handleEvent(EventSubscriber.java:74)
at com.google.common.eventbus.SynchronizedEventSubscriber.handleEvent(SynchronizedEventSubscriber.java:47)
at com.google.common.eventbus.EventBus.dispatch(EventBus.java:322)
at com.google.common.eventbus.EventBus.dispatchQueuedEvents(EventBus.java:304)
at com.google.common.eventbus.EventBus.post(EventBus.java:275)
at cpw.mods.fml.common.LoadController.distributeStateMessage(LoadController.java:118)
at cpw.mods.fml.common.Loader.preinitializeMods(Loader.java:513)
... 10 more
Caused by: java.lang.ClassNotFoundException: binnie.core.machines.TileEntityMachine
at net.minecraft.launchwrapper.LaunchClassLoader.findClass(LaunchClassLoader.java:101)
at java.lang.ClassLoader.loadClass(ClassLoader.java:425)
at java.lang.ClassLoader.loadClass(ClassLoader.java:358)
... 44 more

A detailed walkthrough of the error, its code path and all known details is as follows:

-- System Details --
Details:
Minecraft Version: 1.7.10
Operating System: Linux (amd64) version 3.13.0-24-generic
Java Version: 1.7.0_65, Oracle Corporation
Java VM Version: OpenJDK 64-Bit Server VM (mixed mode), Oracle Corporation
Memory: 149931024 bytes (142 MB) / 384663552 bytes (366 MB) up to 1060372480 bytes (1011 MB)
JVM Flags: 5 total; -Xmx1G -XX:+UseConcMarkSweepGC -XX:+CMSIncrementalMode -XX:-UseAdaptiveSizePolicy -Xmn128M
AABB Pool Size: 0 (0 bytes; 0 MB) allocated, 0 (0 bytes; 0 MB) used
IntCache: cache: 0, tcache: 0, allocated: 0, tallocated: 0
FML: MCP v9.05 FML v7.10.85.1236 Minecraft Forge 10.13.2.1236 31 mods loaded, 31 mods active
mcp{9.05} Minecraft Coder Pack Unloaded->Constructed->Pre-initialized
FML{7.10.85.1236} Forge Mod Loader Unloaded->Constructed->Pre-initialized
Forge{10.13.2.1236} Minecraft Forge Unloaded->Constructed->Pre-initialized
CodeChickenCore{1.0.2.9} CodeChicken Core Unloaded->Constructed->Pre-initialized
bspkrsCore{6.15} bspkrsCore Unloaded->Constructed->Pre-initialized
Treecapitator{1.7.10} Treecapitator Unloaded->Constructed->Pre-initialized
bettervillages{0.3} Better Villages Mod Unloaded->Constructed->Pre-initialized
BuildCraft|Core{6.2.1} BuildCraft Unloaded->Constructed->Pre-initialized
Forestry{3.1.1.296-unstable} Forestry for Minecraft Unloaded->Constructed->Pre-initialized
BinnieCore{2.0-dev5} Binnie Core Unloaded->Constructed->Errored
Botany{2.0-dev5} Botany Unloaded->Constructed->Pre-initialized
ExtraBees{2.0-dev5} Extra Bees Unloaded->Constructed->Errored
ExtraTrees{2.0-dev5} Extra Trees Unloaded->Constructed->Errored
Genetics{2.0-dev5} Genetics Unloaded->Constructed->Errored
BuildCraft|Transport{6.2.1} BC Transport Unloaded->Constructed->Pre-initialized
BuildCraft|Silicon{6.2.1} BC Silicon Unloaded->Constructed->Pre-initialized
BuildCraft|Builders{6.2.1} BC Builders Unloaded->Constructed->Pre-initialized
BuildCraft|Energy{6.2.1} BC Energy Unloaded->Constructed->Pre-initialized
BuildCraft|Factory{6.2.1} BC Factory Unloaded->Constructed->Pre-initialized
ChestTransporter{1.1.10} Chest Transporter Unloaded->Constructed->Pre-initialized
EnderStorage{1.4.4.6} EnderStorage Unloaded->Constructed->Pre-initialized
glowmelonmodid{1.00} GlowmelonMod Unloaded->Constructed->Pre-initialized
IronChest{6.0.41.729} Iron Chest Unloaded->Constructed->Pre-initialized
Railcraft{9.4.0.0} Railcraft Unloaded->Constructed->Pre-initialized
RedstonePasteMod{1.6.2} Redstone Paste Unloaded->Constructed->Pre-initialized
Scenter{1.7.10-3.2.0} Scenter Unloaded->Constructed->Pre-initialized
telepads{1.6.4 v5} Teleportation Pads Unloaded->Constructed->Pre-initialized
SpecialArmor{1.7.10} TeeLuk's SpecialArmor Unloaded->Constructed->Pre-initialized
torchLevers{1.4.1} Torch Levers Unloaded->Constructed->Pre-initialized
universalcoins{1.7.10-1.5.7} Universal Coins Unloaded->Constructed->Pre-initialized
weaponmod{1.7.2 v1.14.2} Balkon's WeaponMod Unloaded->Constructed->Pre-initialized

This is binnies mods expecting there to be a version of the old buildcraft api loaded, but there is not since most mods (except binnies mods) have now updated to the new buildcraft api.

This is not a Railcraft issue. Binnies mods need to update.

You can quick-fix this by putting a copy of the older buildcraft api in some mod so it's loaded so binnies mods can use it.

Binnie is badly outdated, it does not work with the current versions of BC, RC or Forestry.