[ STEP 1 ] First of all make your gif as normal. Sharpen the layers, add an action or whatever you want.
[ STEP 2 ] Go to Layer > New Adjustment Layer > Brightness/contrast and add brightness until you like the result. Now go to Layer > New Adjustment Layer > Gradient map and add a black&white gradient map [check step 3 in this tutorial].
[ STEP 3 ] Go to Layer > New Fill Layer > Solid color and choose a color. Mine is #ddf6ff. Now change from Normal to Multiply. I also changed the opacity to 60%. Now my Layers window looks like this and my gif like this: