You should avoid setting LD_LIBRARY_PATH in your .bashrc. See “Why LD_LIBRARY_PATH is bad” for more information.
Use the linker option -rpath while linking so that the dynamic linker knows where to find libsync.so during runtime.
gcc ... -Wl,-rpath /path/to/library -L/path/to/library -lsync -o sync_test
EDIT:
Another way would be to use a wrapper like this
#!/bin/bash
LD_LIBRARY_PATH=/path/to/library sync_test "$@"
If sync_test starts any other programs, they might end up using the libs in /path/to/library which may or may not be intended.