set_yticklabels method should do that
fig,ax=plt.subplots(1,1,figsize=(15,8))
df.sort_values('count').plot.barh(ax=ax)
ax.grid()
ax.set_ylabel('Most common words')
ax.set_xlabel('number of Occurances')
ax.set_yticklabels([x[0]+'('+x[1]+')' for x in zip(df.index,df.eng)],ha='right')
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