I had the same problem. The following code solved my problem.
copy: {
dist: {
files: [{
expand: true,
dot: true,
cwd: '<%= config.app %>',
dest: '<%= config.dist %>',
src: [
'*.{ico,png,txt}',
'.htaccess',
'images/{,*/}*.webp',
'{,*/}*.html',
'styles/fonts/{,*/}*.*'
]
},{
expand: true,
dot: true,
cwd: 'bower_components/bootstrap/dist', // change this for font-awesome
src: ['fonts/*.*'],
dest: '<%= config.dist %>'
}]
}
}