There may be a conflict in what you define to be of 'descending order':
"if a matrix (in the first column) has the highest rank(in the second column) and needs to be moved to the last row(descending order), it's matrix in the first column should move with it to the last row, too"
This example goes with the "first row will have the smallest rank" way:
A; % this is the input cell array
[ranks_ordered, idx] = sort(cell2mat(A(:,2)));
B = A(idx,:);
sort returns the sorting indices as the second output argument, which is then used to re-sort the original cell array.
