Install the drivers from Ubuntu Main Repository:

sudo apt-get install linux-firmware-nonfree

then reboot.

I believe the file is too old to compile on Ubuntu 14.04. It won't compile on my system either. I notice that there are a number of files in your package named rtsx.something. There are several drivers called rtsx built in:

/lib/modules/3.13.0-32-generic/kernel/drivers/memstick/host/rtsx_pci_ms.ko
/lib/modules/3.13.0-32-generic/kernel/drivers/mfd/rtsx_pci.ko
/lib/modules/3.13.0-32-generic/kernel/drivers/mmc/host/rtsx_pci_sdmmc.ko

Are you certain that the driver you need isn't already present? What does this tell us about the device?

lspci -nn

I suggest you try:

sudo apt-get install git
git clone 
cd rts5229
make clean
make
sudo make install
sudo depmod -a
sudo modprobe rts5229

It makes with one warning but no errors on my system.

Please edit /etc/modprobe.d/blacklist.conf to change this line:

#Wireless drivers conflicting with rt3562sta

To this, with a space:

# Wireless drivers conflicting with rt3562sta

Proofread, save and close the text editor.

You have compiled the driver for your currently running kernel only. When Update Manager installs a newer linux-image, after the requested reboot, re-compile:

cd rts5229
make clean
make
sudo make install
sudo depmod -a
sudo modprobe rts5229