First you have to synthesize the powder or find someone to do this for you, the simplest way is to make a fused powder of the La2O3, Al2O3 and TiO2 in the above mentioned stochiometric ratio. then crush and mill it to the desired size for plasma spraying of ~ 30 microns. (this is for large amounts > 50 kg of material the best and cheapest solution but requires more than lab equipment)
For small amounts you can start from ultrafine La2O3, Al2O3 and TiO2 powders which you must mill intensively, spray dry and try to convert them to the desired composition by calcination at 1200-1300°C. Then you must check the composition I am not sure if the desired phase will form so easily, so you will have to play with the calcination parameters. Spray drying may directly lead you to the desired granule size for APS and good flowability of the powder moreover the granules do not fuse together during calcination as a loose powder would.
Solid state reaction suggested above is fine fix of a problem but you will encounter many problems with phase purity and ussually it involves several annealing and grinding steps which are time and cost consuming. I would suggest more simpler Pechinis technique. As a source materials you will need nitrates of lanthanum and alumina and of course titanium butoxide stabilized prior to the synthesis with acetylacetone. Afterwards you need citric acid and ethylene glycol as organic filler
Anyway run any scientific databese and input Pechini technique and you are gonna find many examples. It works pretty fine for many materials.